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Finding the Third Proportional to 125,330 and 275,468

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Solution

The third proportional to 125,330 and 275,468 is: 605,462.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,330 : 275,468 = 275,468 : x
  2. Step 2: Convert to fraction form
    125,330/275,468 = 275,468/x
  3. Step 3: Cross multiply
    125,330x = 275,468 × 275,468
  4. Step 4: Simplify right side
    125,330x = 75,882,619,024
  5. Step 5: Solve for x
    x = 75,882,619,024/125,330
  6. Step 6: Final answer
    x = 605,462.53

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Why These Related Problems?

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