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Finding the Third Proportional to 175,248.56 and 381,251.81

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Solution

The third proportional to 175,248.56 and 381,251.81 is: 829,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,248.56 : 381,251.81 = 381,251.81 : x
  2. Step 2: Convert to fraction form
    175,248.56/381,251.81 = 381,251.81/x
  3. Step 3: Cross multiply
    175,248.56x = 381,251.81 × 381,251.81
  4. Step 4: Simplify right side
    175,248.56x = 145,352,944,534.54
  5. Step 5: Solve for x
    x = 145,352,944,534.54/175,248.56
  6. Step 6: Final answer
    x = 829,410.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.