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Finding the Third Proportional to 177,382 and 381,007

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Solution

The third proportional to 177,382 and 381,007 is: 818,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,382 : 381,007 = 381,007 : x
  2. Step 2: Convert to fraction form
    177,382/381,007 = 381,007/x
  3. Step 3: Cross multiply
    177,382x = 381,007 × 381,007
  4. Step 4: Simplify right side
    177,382x = 145,166,334,049
  5. Step 5: Solve for x
    x = 145,166,334,049/177,382
  6. Step 6: Final answer
    x = 818,382.55

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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.