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Finding the Third Proportional to 207,204 and 319,959

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Solution

The third proportional to 207,204 and 319,959 is: 494,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,204 : 319,959 = 319,959 : x
  2. Step 2: Convert to fraction form
    207,204/319,959 = 319,959/x
  3. Step 3: Cross multiply
    207,204x = 319,959 × 319,959
  4. Step 4: Simplify right side
    207,204x = 102,373,761,681
  5. Step 5: Solve for x
    x = 102,373,761,681/207,204
  6. Step 6: Final answer
    x = 494,072.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.