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Finding the Third Proportional to 137,928 and 295,542

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Solution

The third proportional to 137,928 and 295,542 is: 633,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,928 : 295,542 = 295,542 : x
  2. Step 2: Convert to fraction form
    137,928/295,542 = 295,542/x
  3. Step 3: Cross multiply
    137,928x = 295,542 × 295,542
  4. Step 4: Simplify right side
    137,928x = 87,345,073,764
  5. Step 5: Solve for x
    x = 87,345,073,764/137,928
  6. Step 6: Final answer
    x = 633,265.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.