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Finding the Third Proportional to 172,336 and 378,720

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Solution

The third proportional to 172,336 and 378,720 is: 832,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,336 : 378,720 = 378,720 : x
  2. Step 2: Convert to fraction form
    172,336/378,720 = 378,720/x
  3. Step 3: Cross multiply
    172,336x = 378,720 × 378,720
  4. Step 4: Simplify right side
    172,336x = 143,428,838,400
  5. Step 5: Solve for x
    x = 143,428,838,400/172,336
  6. Step 6: Final answer
    x = 832,262.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.