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Finding the Third Proportional to 177,262 and 382,694

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Solution

The third proportional to 177,262 and 382,694 is: 826,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,262 : 382,694 = 382,694 : x
  2. Step 2: Convert to fraction form
    177,262/382,694 = 382,694/x
  3. Step 3: Cross multiply
    177,262x = 382,694 × 382,694
  4. Step 4: Simplify right side
    177,262x = 146,454,697,636
  5. Step 5: Solve for x
    x = 146,454,697,636/177,262
  6. Step 6: Final answer
    x = 826,204.70

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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.