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Finding the Third Proportional to 130,753.41 and 281,445.47

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Solution

The third proportional to 130,753.41 and 281,445.47 is: 605,808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,753.41 : 281,445.47 = 281,445.47 : x
  2. Step 2: Convert to fraction form
    130,753.41/281,445.47 = 281,445.47/x
  3. Step 3: Cross multiply
    130,753.41x = 281,445.47 × 281,445.47
  4. Step 4: Simplify right side
    130,753.41x = 79,211,551,879.91
  5. Step 5: Solve for x
    x = 79,211,551,879.91/130,753.41
  6. Step 6: Final answer
    x = 605,808.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.