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Finding the Third Proportional to 83,384 and 177,703

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Solution

The third proportional to 83,384 and 177,703 is: 378,710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,384 : 177,703 = 177,703 : x
  2. Step 2: Convert to fraction form
    83,384/177,703 = 177,703/x
  3. Step 3: Cross multiply
    83,384x = 177,703 × 177,703
  4. Step 4: Simplify right side
    83,384x = 31,578,356,209
  5. Step 5: Solve for x
    x = 31,578,356,209/83,384
  6. Step 6: Final answer
    x = 378,710.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.