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Finding the Third Proportional to 191,239.31 and 281,292.75

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Solution

The third proportional to 191,239.31 and 281,292.75 is: 413,751.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,239.31 : 281,292.75 = 281,292.75 : x
  2. Step 2: Convert to fraction form
    191,239.31/281,292.75 = 281,292.75/x
  3. Step 3: Cross multiply
    191,239.31x = 281,292.75 × 281,292.75
  4. Step 4: Simplify right side
    191,239.31x = 79,125,611,202.56
  5. Step 5: Solve for x
    x = 79,125,611,202.56/191,239.31
  6. Step 6: Final answer
    x = 413,751.81

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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.