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Finding the Third Proportional to 236,133 and 509,580.75

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Solution

The third proportional to 236,133 and 509,580.75 is: 1,099,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,133 : 509,580.75 = 509,580.75 : x
  2. Step 2: Convert to fraction form
    236,133/509,580.75 = 509,580.75/x
  3. Step 3: Cross multiply
    236,133x = 509,580.75 × 509,580.75
  4. Step 4: Simplify right side
    236,133x = 259,672,540,770.56
  5. Step 5: Solve for x
    x = 259,672,540,770.56/236,133
  6. Step 6: Final answer
    x = 1,099,687.64

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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.