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Finding the Third Proportional to 80,434.13 and 158,847.75

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Solution

The third proportional to 80,434.13 and 158,847.75 is: 313,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,434.13 : 158,847.75 = 158,847.75 : x
  2. Step 2: Convert to fraction form
    80,434.13/158,847.75 = 158,847.75/x
  3. Step 3: Cross multiply
    80,434.13x = 158,847.75 × 158,847.75
  4. Step 4: Simplify right side
    80,434.13x = 25,232,607,680.06
  5. Step 5: Solve for x
    x = 25,232,607,680.06/80,434.13
  6. Step 6: Final answer
    x = 313,705.25

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.