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Finding the Third Proportional to 175,257.56 and 381,269.38

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Solution

The third proportional to 175,257.56 and 381,269.38 is: 829,444.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,257.56 : 381,269.38 = 381,269.38 : x
  2. Step 2: Convert to fraction form
    175,257.56/381,269.38 = 381,269.38/x
  3. Step 3: Cross multiply
    175,257.56x = 381,269.38 × 381,269.38
  4. Step 4: Simplify right side
    175,257.56x = 145,366,336,312.89
  5. Step 5: Solve for x
    x = 145,366,336,312.89/175,257.56
  6. Step 6: Final answer
    x = 829,444.02

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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.