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Finding the Third Proportional to 70,422.75 and 156,588.75

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Solution

The third proportional to 70,422.75 and 156,588.75 is: 348,183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,422.75 : 156,588.75 = 156,588.75 : x
  2. Step 2: Convert to fraction form
    70,422.75/156,588.75 = 156,588.75/x
  3. Step 3: Cross multiply
    70,422.75x = 156,588.75 × 156,588.75
  4. Step 4: Simplify right side
    70,422.75x = 24,520,036,626.56
  5. Step 5: Solve for x
    x = 24,520,036,626.56/70,422.75
  6. Step 6: Final answer
    x = 348,183.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.