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Finding the Third Proportional to 123,473 and 272,650

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Solution

The third proportional to 123,473 and 272,650 is: 602,058.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,473 : 272,650 = 272,650 : x
  2. Step 2: Convert to fraction form
    123,473/272,650 = 272,650/x
  3. Step 3: Cross multiply
    123,473x = 272,650 × 272,650
  4. Step 4: Simplify right side
    123,473x = 74,338,022,500
  5. Step 5: Solve for x
    x = 74,338,022,500/123,473
  6. Step 6: Final answer
    x = 602,058.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.