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Finding the Third Proportional to 176,752.13 and 381,520.13

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Solution

The third proportional to 176,752.13 and 381,520.13 is: 823,512.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,752.13 : 381,520.13 = 381,520.13 : x
  2. Step 2: Convert to fraction form
    176,752.13/381,520.13 = 381,520.13/x
  3. Step 3: Cross multiply
    176,752.13x = 381,520.13 × 381,520.13
  4. Step 4: Simplify right side
    176,752.13x = 145,557,605,780.02
  5. Step 5: Solve for x
    x = 145,557,605,780.02/176,752.13
  6. Step 6: Final answer
    x = 823,512.62

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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.