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Finding the Third Proportional to 177,252 and 382,674

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Solution

The third proportional to 177,252 and 382,674 is: 826,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,252 : 382,674 = 382,674 : x
  2. Step 2: Convert to fraction form
    177,252/382,674 = 382,674/x
  3. Step 3: Cross multiply
    177,252x = 382,674 × 382,674
  4. Step 4: Simplify right side
    177,252x = 146,439,390,276
  5. Step 5: Solve for x
    x = 146,439,390,276/177,252
  6. Step 6: Final answer
    x = 826,164.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.