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Finding the Third Proportional to 156,723 and 238,757

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Solution

The third proportional to 156,723 and 238,757 is: 363,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,723 : 238,757 = 238,757 : x
  2. Step 2: Convert to fraction form
    156,723/238,757 = 238,757/x
  3. Step 3: Cross multiply
    156,723x = 238,757 × 238,757
  4. Step 4: Simplify right side
    156,723x = 57,004,905,049
  5. Step 5: Solve for x
    x = 57,004,905,049/156,723
  6. Step 6: Final answer
    x = 363,730.31

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