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Finding the Third Proportional to 239,468 and 319,540

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Solution

The third proportional to 239,468 and 319,540 is: 426,386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,468 : 319,540 = 319,540 : x
  2. Step 2: Convert to fraction form
    239,468/319,540 = 319,540/x
  3. Step 3: Cross multiply
    239,468x = 319,540 × 319,540
  4. Step 4: Simplify right side
    239,468x = 102,105,811,600
  5. Step 5: Solve for x
    x = 102,105,811,600/239,468
  6. Step 6: Final answer
    x = 426,386.04

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.