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Finding the Third Proportional to 160,082 and 231,858

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Solution

The third proportional to 160,082 and 231,858 is: 335,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,082 : 231,858 = 231,858 : x
  2. Step 2: Convert to fraction form
    160,082/231,858 = 231,858/x
  3. Step 3: Cross multiply
    160,082x = 231,858 × 231,858
  4. Step 4: Simplify right side
    160,082x = 53,758,132,164
  5. Step 5: Solve for x
    x = 53,758,132,164/160,082
  6. Step 6: Final answer
    x = 335,816.22

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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.