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Finding the Third Proportional to 187,818.75 and 281,674.13

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Solution

The third proportional to 187,818.75 and 281,674.13 is: 422,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,818.75 : 281,674.13 = 281,674.13 : x
  2. Step 2: Convert to fraction form
    187,818.75/281,674.13 = 281,674.13/x
  3. Step 3: Cross multiply
    187,818.75x = 281,674.13 × 281,674.13
  4. Step 4: Simplify right side
    187,818.75x = 79,340,312,694.52
  5. Step 5: Solve for x
    x = 79,340,312,694.52/187,818.75
  6. Step 6: Final answer
    x = 422,430.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.