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Finding the Third Proportional to 156,720.75 and 238,753.13

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Solution

The third proportional to 156,720.75 and 238,753.13 is: 363,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,720.75 : 238,753.13 = 238,753.13 : x
  2. Step 2: Convert to fraction form
    156,720.75/238,753.13 = 238,753.13/x
  3. Step 3: Cross multiply
    156,720.75x = 238,753.13 × 238,753.13
  4. Step 4: Simplify right side
    156,720.75x = 57,003,054,697.27
  5. Step 5: Solve for x
    x = 57,003,054,697.27/156,720.75
  6. Step 6: Final answer
    x = 363,723.72

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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.