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Finding the Third Proportional to 125,898 and 270,508

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Solution

The third proportional to 125,898 and 270,508 is: 581,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,898 : 270,508 = 270,508 : x
  2. Step 2: Convert to fraction form
    125,898/270,508 = 270,508/x
  3. Step 3: Cross multiply
    125,898x = 270,508 × 270,508
  4. Step 4: Simplify right side
    125,898x = 73,174,578,064
  5. Step 5: Solve for x
    x = 73,174,578,064/125,898
  6. Step 6: Final answer
    x = 581,221.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.