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Finding the Third Proportional to 239,528 and 399,189

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Solution

The third proportional to 239,528 and 399,189 is: 665,274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,528 : 399,189 = 399,189 : x
  2. Step 2: Convert to fraction form
    239,528/399,189 = 399,189/x
  3. Step 3: Cross multiply
    239,528x = 399,189 × 399,189
  4. Step 4: Simplify right side
    239,528x = 159,351,857,721
  5. Step 5: Solve for x
    x = 159,351,857,721/239,528
  6. Step 6: Final answer
    x = 665,274.45

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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.