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Finding the Third Proportional to 156,672.75 and 238,680.75

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Solution

The third proportional to 156,672.75 and 238,680.75 is: 363,614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,672.75 : 238,680.75 = 238,680.75 : x
  2. Step 2: Convert to fraction form
    156,672.75/238,680.75 = 238,680.75/x
  3. Step 3: Cross multiply
    156,672.75x = 238,680.75 × 238,680.75
  4. Step 4: Simplify right side
    156,672.75x = 56,968,500,420.56
  5. Step 5: Solve for x
    x = 56,968,500,420.56/156,672.75
  6. Step 6: Final answer
    x = 363,614.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.