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Finding the Third Proportional to 123,508.50 and 251,382

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Solution

The third proportional to 123,508.50 and 251,382 is: 511,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,508.50 : 251,382 = 251,382 : x
  2. Step 2: Convert to fraction form
    123,508.50/251,382 = 251,382/x
  3. Step 3: Cross multiply
    123,508.50x = 251,382 × 251,382
  4. Step 4: Simplify right side
    123,508.50x = 63,192,909,924
  5. Step 5: Solve for x
    x = 63,192,909,924/123,508.50
  6. Step 6: Final answer
    x = 511,648.27

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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.