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Finding the Third Proportional to 149,204 and 231,369

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Solution

The third proportional to 149,204 and 231,369 is: 358,781.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,204 : 231,369 = 231,369 : x
  2. Step 2: Convert to fraction form
    149,204/231,369 = 231,369/x
  3. Step 3: Cross multiply
    149,204x = 231,369 × 231,369
  4. Step 4: Simplify right side
    149,204x = 53,531,614,161
  5. Step 5: Solve for x
    x = 53,531,614,161/149,204
  6. Step 6: Final answer
    x = 358,781.36

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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.