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Finding the Third Proportional to 119,299 and 259,591

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Solution

The third proportional to 119,299 and 259,591 is: 564,862.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,299 : 259,591 = 259,591 : x
  2. Step 2: Convert to fraction form
    119,299/259,591 = 259,591/x
  3. Step 3: Cross multiply
    119,299x = 259,591 × 259,591
  4. Step 4: Simplify right side
    119,299x = 67,387,487,281
  5. Step 5: Solve for x
    x = 67,387,487,281/119,299
  6. Step 6: Final answer
    x = 564,862.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.