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Finding the Third Proportional to 177,354 and 382,842

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Solution

The third proportional to 177,354 and 382,842 is: 826,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,354 : 382,842 = 382,842 : x
  2. Step 2: Convert to fraction form
    177,354/382,842 = 382,842/x
  3. Step 3: Cross multiply
    177,354x = 382,842 × 382,842
  4. Step 4: Simplify right side
    177,354x = 146,567,996,964
  5. Step 5: Solve for x
    x = 146,567,996,964/177,354
  6. Step 6: Final answer
    x = 826,414.95

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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.