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Finding the Third Proportional to 229,450 and 337,422

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Solution

The third proportional to 229,450 and 337,422 is: 496,202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,450 : 337,422 = 337,422 : x
  2. Step 2: Convert to fraction form
    229,450/337,422 = 337,422/x
  3. Step 3: Cross multiply
    229,450x = 337,422 × 337,422
  4. Step 4: Simplify right side
    229,450x = 113,853,606,084
  5. Step 5: Solve for x
    x = 113,853,606,084/229,450
  6. Step 6: Final answer
    x = 496,202.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.