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Finding the Third Proportional to 236,153.25 and 509,620.50

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Solution

The third proportional to 236,153.25 and 509,620.50 is: 1,099,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,153.25 : 509,620.50 = 509,620.50 : x
  2. Step 2: Convert to fraction form
    236,153.25/509,620.50 = 509,620.50/x
  3. Step 3: Cross multiply
    236,153.25x = 509,620.50 × 509,620.50
  4. Step 4: Simplify right side
    236,153.25x = 259,713,054,020.25
  5. Step 5: Solve for x
    x = 259,713,054,020.25/236,153.25
  6. Step 6: Final answer
    x = 1,099,764.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.