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Finding the Third Proportional to 207,198.75 and 319,951.13

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Solution

The third proportional to 207,198.75 and 319,951.13 is: 494,060.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,198.75 : 319,951.13 = 319,951.13 : x
  2. Step 2: Convert to fraction form
    207,198.75/319,951.13 = 319,951.13/x
  3. Step 3: Cross multiply
    207,198.75x = 319,951.13 × 319,951.13
  4. Step 4: Simplify right side
    207,198.75x = 102,368,722,388.77
  5. Step 5: Solve for x
    x = 102,368,722,388.77/207,198.75
  6. Step 6: Final answer
    x = 494,060.52

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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.