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Finding the Third Proportional to 125,304.50 and 275,419

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Solution

The third proportional to 125,304.50 and 275,419 is: 605,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,304.50 : 275,419 = 275,419 : x
  2. Step 2: Convert to fraction form
    125,304.50/275,419 = 275,419/x
  3. Step 3: Cross multiply
    125,304.50x = 275,419 × 275,419
  4. Step 4: Simplify right side
    125,304.50x = 75,855,625,561
  5. Step 5: Solve for x
    x = 75,855,625,561/125,304.50
  6. Step 6: Final answer
    x = 605,370.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.