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Finding the Third Proportional to 239,521 and 399,180

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Solution

The third proportional to 239,521 and 399,180 is: 665,263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,521 : 399,180 = 399,180 : x
  2. Step 2: Convert to fraction form
    239,521/399,180 = 399,180/x
  3. Step 3: Cross multiply
    239,521x = 399,180 × 399,180
  4. Step 4: Simplify right side
    239,521x = 159,344,672,400
  5. Step 5: Solve for x
    x = 159,344,672,400/239,521
  6. Step 6: Final answer
    x = 665,263.89

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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.