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Finding the Third Proportional to 129,314 and 199,683

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Solution

The third proportional to 129,314 and 199,683 is: 308,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,314 : 199,683 = 199,683 : x
  2. Step 2: Convert to fraction form
    129,314/199,683 = 199,683/x
  3. Step 3: Cross multiply
    129,314x = 199,683 × 199,683
  4. Step 4: Simplify right side
    129,314x = 39,873,300,489
  5. Step 5: Solve for x
    x = 39,873,300,489/129,314
  6. Step 6: Final answer
    x = 308,344.81

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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.