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Finding the Third Proportional to 176,690 and 381,548

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Solution

The third proportional to 176,690 and 381,548 is: 823,922.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,690 : 381,548 = 381,548 : x
  2. Step 2: Convert to fraction form
    176,690/381,548 = 381,548/x
  3. Step 3: Cross multiply
    176,690x = 381,548 × 381,548
  4. Step 4: Simplify right side
    176,690x = 145,578,876,304
  5. Step 5: Solve for x
    x = 145,578,876,304/176,690
  6. Step 6: Final answer
    x = 823,922.56

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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.