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Finding the Third Proportional to 187,332.75 and 281,005

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Solution

The third proportional to 187,332.75 and 281,005 is: 421,516.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,332.75 : 281,005 = 281,005 : x
  2. Step 2: Convert to fraction form
    187,332.75/281,005 = 281,005/x
  3. Step 3: Cross multiply
    187,332.75x = 281,005 × 281,005
  4. Step 4: Simplify right side
    187,332.75x = 78,963,810,025
  5. Step 5: Solve for x
    x = 78,963,810,025/187,332.75
  6. Step 6: Final answer
    x = 421,516.31

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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.