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Finding the Third Proportional to 107,151 and 233,349

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Solution

The third proportional to 107,151 and 233,349 is: 508,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,151 : 233,349 = 233,349 : x
  2. Step 2: Convert to fraction form
    107,151/233,349 = 233,349/x
  3. Step 3: Cross multiply
    107,151x = 233,349 × 233,349
  4. Step 4: Simplify right side
    107,151x = 54,451,755,801
  5. Step 5: Solve for x
    x = 54,451,755,801/107,151
  6. Step 6: Final answer
    x = 508,177.77

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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.