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Finding the Third Proportional to 179,648 and 299,424

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Solution

The third proportional to 179,648 and 299,424 is: 499,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,648 : 299,424 = 299,424 : x
  2. Step 2: Convert to fraction form
    179,648/299,424 = 299,424/x
  3. Step 3: Cross multiply
    179,648x = 299,424 × 299,424
  4. Step 4: Simplify right side
    179,648x = 89,654,731,776
  5. Step 5: Solve for x
    x = 89,654,731,776/179,648
  6. Step 6: Final answer
    x = 499,057.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.