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Finding the Third Proportional to 198,282 and 319,195

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Solution

The third proportional to 198,282 and 319,195 is: 513,841.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,282 : 319,195 = 319,195 : x
  2. Step 2: Convert to fraction form
    198,282/319,195 = 319,195/x
  3. Step 3: Cross multiply
    198,282x = 319,195 × 319,195
  4. Step 4: Simplify right side
    198,282x = 101,885,448,025
  5. Step 5: Solve for x
    x = 101,885,448,025/198,282
  6. Step 6: Final answer
    x = 513,841.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.