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Finding the Third Proportional to 177,497 and 382,057

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Solution

The third proportional to 177,497 and 382,057 is: 822,366.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,497 : 382,057 = 382,057 : x
  2. Step 2: Convert to fraction form
    177,497/382,057 = 382,057/x
  3. Step 3: Cross multiply
    177,497x = 382,057 × 382,057
  4. Step 4: Simplify right side
    177,497x = 145,967,551,249
  5. Step 5: Solve for x
    x = 145,967,551,249/177,497
  6. Step 6: Final answer
    x = 822,366.30

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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.