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Finding the Third Proportional to 158,082.75 and 231,207.75

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Solution

The third proportional to 158,082.75 and 231,207.75 is: 338,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,082.75 : 231,207.75 = 231,207.75 : x
  2. Step 2: Convert to fraction form
    158,082.75/231,207.75 = 231,207.75/x
  3. Step 3: Cross multiply
    158,082.75x = 231,207.75 × 231,207.75
  4. Step 4: Simplify right side
    158,082.75x = 53,457,023,660.06
  5. Step 5: Solve for x
    x = 53,457,023,660.06/158,082.75
  6. Step 6: Final answer
    x = 338,158.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.