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Finding the Third Proportional to 82,348 and 177,398

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Solution

The third proportional to 82,348 and 177,398 is: 382,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,348 : 177,398 = 177,398 : x
  2. Step 2: Convert to fraction form
    82,348/177,398 = 177,398/x
  3. Step 3: Cross multiply
    82,348x = 177,398 × 177,398
  4. Step 4: Simplify right side
    82,348x = 31,470,050,404
  5. Step 5: Solve for x
    x = 31,470,050,404/82,348
  6. Step 6: Final answer
    x = 382,159.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.