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Finding the Third Proportional to 131,619 and 198,613

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Solution

The third proportional to 131,619 and 198,613 is: 299,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,619 : 198,613 = 198,613 : x
  2. Step 2: Convert to fraction form
    131,619/198,613 = 198,613/x
  3. Step 3: Cross multiply
    131,619x = 198,613 × 198,613
  4. Step 4: Simplify right side
    131,619x = 39,447,123,769
  5. Step 5: Solve for x
    x = 39,447,123,769/131,619
  6. Step 6: Final answer
    x = 299,706.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.