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Finding the Third Proportional to 123,217.75 and 250,901.75

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Solution

The third proportional to 123,217.75 and 250,901.75 is: 510,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,217.75 : 250,901.75 = 250,901.75 : x
  2. Step 2: Convert to fraction form
    123,217.75/250,901.75 = 250,901.75/x
  3. Step 3: Cross multiply
    123,217.75x = 250,901.75 × 250,901.75
  4. Step 4: Simplify right side
    123,217.75x = 62,951,688,153.06
  5. Step 5: Solve for x
    x = 62,951,688,153.06/123,217.75
  6. Step 6: Final answer
    x = 510,897.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.