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Finding the Third Proportional to 159,496 and 231,820

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Solution

The third proportional to 159,496 and 231,820 is: 336,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,496 : 231,820 = 231,820 : x
  2. Step 2: Convert to fraction form
    159,496/231,820 = 231,820/x
  3. Step 3: Cross multiply
    159,496x = 231,820 × 231,820
  4. Step 4: Simplify right side
    159,496x = 53,740,512,400
  5. Step 5: Solve for x
    x = 53,740,512,400/159,496
  6. Step 6: Final answer
    x = 336,939.56

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.