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Finding the Third Proportional to 156,726 and 238,761

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Solution

The third proportional to 156,726 and 238,761 is: 363,735.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,726 : 238,761 = 238,761 : x
  2. Step 2: Convert to fraction form
    156,726/238,761 = 238,761/x
  3. Step 3: Cross multiply
    156,726x = 238,761 × 238,761
  4. Step 4: Simplify right side
    156,726x = 57,006,815,121
  5. Step 5: Solve for x
    x = 57,006,815,121/156,726
  6. Step 6: Final answer
    x = 363,735.53

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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.