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Finding the Third Proportional to 137,750 and 296,506

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Solution

The third proportional to 137,750 and 296,506 is: 638,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,750 : 296,506 = 296,506 : x
  2. Step 2: Convert to fraction form
    137,750/296,506 = 296,506/x
  3. Step 3: Cross multiply
    137,750x = 296,506 × 296,506
  4. Step 4: Simplify right side
    137,750x = 87,915,808,036
  5. Step 5: Solve for x
    x = 87,915,808,036/137,750
  6. Step 6: Final answer
    x = 638,227.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.