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Finding the Third Proportional to 179,644 and 299,418

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Solution

The third proportional to 179,644 and 299,418 is: 499,048.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,644 : 299,418 = 299,418 : x
  2. Step 2: Convert to fraction form
    179,644/299,418 = 299,418/x
  3. Step 3: Cross multiply
    179,644x = 299,418 × 299,418
  4. Step 4: Simplify right side
    179,644x = 89,651,138,724
  5. Step 5: Solve for x
    x = 89,651,138,724/179,644
  6. Step 6: Final answer
    x = 499,048.89

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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.