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Finding the Third Proportional to 149,222 and 231,398

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Solution

The third proportional to 149,222 and 231,398 is: 358,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,222 : 231,398 = 231,398 : x
  2. Step 2: Convert to fraction form
    149,222/231,398 = 231,398/x
  3. Step 3: Cross multiply
    149,222x = 231,398 × 231,398
  4. Step 4: Simplify right side
    149,222x = 53,545,034,404
  5. Step 5: Solve for x
    x = 53,545,034,404/149,222
  6. Step 6: Final answer
    x = 358,828.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.