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Finding the Third Proportional to 236,155.50 and 509,625

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Solution

The third proportional to 236,155.50 and 509,625 is: 1,099,773.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,155.50 : 509,625 = 509,625 : x
  2. Step 2: Convert to fraction form
    236,155.50/509,625 = 509,625/x
  3. Step 3: Cross multiply
    236,155.50x = 509,625 × 509,625
  4. Step 4: Simplify right side
    236,155.50x = 259,717,640,625
  5. Step 5: Solve for x
    x = 259,717,640,625/236,155.50
  6. Step 6: Final answer
    x = 1,099,773.84

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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.