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Finding the Third Proportional to 137,707 and 300,685

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Solution

The third proportional to 137,707 and 300,685 is: 656,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,707 : 300,685 = 300,685 : x
  2. Step 2: Convert to fraction form
    137,707/300,685 = 300,685/x
  3. Step 3: Cross multiply
    137,707x = 300,685 × 300,685
  4. Step 4: Simplify right side
    137,707x = 90,411,469,225
  5. Step 5: Solve for x
    x = 90,411,469,225/137,707
  6. Step 6: Final answer
    x = 656,549.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.