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Finding the Third Proportional to 81,240 and 177,384

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Solution

The third proportional to 81,240 and 177,384 is: 387,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,240 : 177,384 = 177,384 : x
  2. Step 2: Convert to fraction form
    81,240/177,384 = 177,384/x
  3. Step 3: Cross multiply
    81,240x = 177,384 × 177,384
  4. Step 4: Simplify right side
    81,240x = 31,465,083,456
  5. Step 5: Solve for x
    x = 31,465,083,456/81,240
  6. Step 6: Final answer
    x = 387,310.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.