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Finding the Third Proportional to 82,382 and 169,683

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Solution

The third proportional to 82,382 and 169,683 is: 349,497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,382 : 169,683 = 169,683 : x
  2. Step 2: Convert to fraction form
    82,382/169,683 = 169,683/x
  3. Step 3: Cross multiply
    82,382x = 169,683 × 169,683
  4. Step 4: Simplify right side
    82,382x = 28,792,320,489
  5. Step 5: Solve for x
    x = 28,792,320,489/82,382
  6. Step 6: Final answer
    x = 349,497.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.