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Finding the Third Proportional to 156,725 and 238,759

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Solution

The third proportional to 156,725 and 238,759 is: 363,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,725 : 238,759 = 238,759 : x
  2. Step 2: Convert to fraction form
    156,725/238,759 = 238,759/x
  3. Step 3: Cross multiply
    156,725x = 238,759 × 238,759
  4. Step 4: Simplify right side
    156,725x = 57,005,860,081
  5. Step 5: Solve for x
    x = 57,005,860,081/156,725
  6. Step 6: Final answer
    x = 363,731.76

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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.