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Finding the Third Proportional to 131,232.66 and 281,115.56

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Solution

The third proportional to 131,232.66 and 281,115.56 is: 602,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,232.66 : 281,115.56 = 281,115.56 : x
  2. Step 2: Convert to fraction form
    131,232.66/281,115.56 = 281,115.56/x
  3. Step 3: Cross multiply
    131,232.66x = 281,115.56 × 281,115.56
  4. Step 4: Simplify right side
    131,232.66x = 79,025,959,479.69
  5. Step 5: Solve for x
    x = 79,025,959,479.69/131,232.66
  6. Step 6: Final answer
    x = 602,182.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.