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Finding the Third Proportional to 137,370 and 289,744

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Solution

The third proportional to 137,370 and 289,744 is: 611,134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,370 : 289,744 = 289,744 : x
  2. Step 2: Convert to fraction form
    137,370/289,744 = 289,744/x
  3. Step 3: Cross multiply
    137,370x = 289,744 × 289,744
  4. Step 4: Simplify right side
    137,370x = 83,951,585,536
  5. Step 5: Solve for x
    x = 83,951,585,536/137,370
  6. Step 6: Final answer
    x = 611,134.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.