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Finding the Third Proportional to 156,932 and 232,349

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Solution

The third proportional to 156,932 and 232,349 is: 344,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,932 : 232,349 = 232,349 : x
  2. Step 2: Convert to fraction form
    156,932/232,349 = 232,349/x
  3. Step 3: Cross multiply
    156,932x = 232,349 × 232,349
  4. Step 4: Simplify right side
    156,932x = 53,986,057,801
  5. Step 5: Solve for x
    x = 53,986,057,801/156,932
  6. Step 6: Final answer
    x = 344,009.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.