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Finding the Third Proportional to 81,384 and 167,640

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Solution

The third proportional to 81,384 and 167,640 is: 345,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,384 : 167,640 = 167,640 : x
  2. Step 2: Convert to fraction form
    81,384/167,640 = 167,640/x
  3. Step 3: Cross multiply
    81,384x = 167,640 × 167,640
  4. Step 4: Simplify right side
    81,384x = 28,103,169,600
  5. Step 5: Solve for x
    x = 28,103,169,600/81,384
  6. Step 6: Final answer
    x = 345,315.66

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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.