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Finding the Third Proportional to 79,474 and 168,424

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Solution

The third proportional to 79,474 and 168,424 is: 356,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,474 : 168,424 = 168,424 : x
  2. Step 2: Convert to fraction form
    79,474/168,424 = 168,424/x
  3. Step 3: Cross multiply
    79,474x = 168,424 × 168,424
  4. Step 4: Simplify right side
    79,474x = 28,366,643,776
  5. Step 5: Solve for x
    x = 28,366,643,776/79,474
  6. Step 6: Final answer
    x = 356,929.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.