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Finding the Third Proportional to 191,230.31 and 281,279.25

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Solution

The third proportional to 191,230.31 and 281,279.25 is: 413,731.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,230.31 : 281,279.25 = 281,279.25 : x
  2. Step 2: Convert to fraction form
    191,230.31/281,279.25 = 281,279.25/x
  3. Step 3: Cross multiply
    191,230.31x = 281,279.25 × 281,279.25
  4. Step 4: Simplify right side
    191,230.31x = 79,118,016,480.56
  5. Step 5: Solve for x
    x = 79,118,016,480.56/191,230.31
  6. Step 6: Final answer
    x = 413,731.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.