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Finding the Third Proportional to 267,178.50 and 585,052.88

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Solution

The third proportional to 267,178.50 and 585,052.88 is: 1,281,116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,178.50 : 585,052.88 = 585,052.88 : x
  2. Step 2: Convert to fraction form
    267,178.50/585,052.88 = 585,052.88/x
  3. Step 3: Cross multiply
    267,178.50x = 585,052.88 × 585,052.88
  4. Step 4: Simplify right side
    267,178.50x = 342,286,866,545.77
  5. Step 5: Solve for x
    x = 342,286,866,545.77/267,178.50
  6. Step 6: Final answer
    x = 1,281,116.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.