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Finding the Third Proportional to 164,272 and 351,872

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Solution

The third proportional to 164,272 and 351,872 is: 753,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,272 : 351,872 = 351,872 : x
  2. Step 2: Convert to fraction form
    164,272/351,872 = 351,872/x
  3. Step 3: Cross multiply
    164,272x = 351,872 × 351,872
  4. Step 4: Simplify right side
    164,272x = 123,813,904,384
  5. Step 5: Solve for x
    x = 123,813,904,384/164,272
  6. Step 6: Final answer
    x = 753,712.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.