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Finding the Third Proportional to 156,872.25 and 235,665.75

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Solution

The third proportional to 156,872.25 and 235,665.75 is: 354,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,872.25 : 235,665.75 = 235,665.75 : x
  2. Step 2: Convert to fraction form
    156,872.25/235,665.75 = 235,665.75/x
  3. Step 3: Cross multiply
    156,872.25x = 235,665.75 × 235,665.75
  4. Step 4: Simplify right side
    156,872.25x = 55,538,345,723.06
  5. Step 5: Solve for x
    x = 55,538,345,723.06/156,872.25
  6. Step 6: Final answer
    x = 354,035.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.