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Finding the Third Proportional to 160,142 and 231,939

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Solution

The third proportional to 160,142 and 231,939 is: 335,924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,142 : 231,939 = 231,939 : x
  2. Step 2: Convert to fraction form
    160,142/231,939 = 231,939/x
  3. Step 3: Cross multiply
    160,142x = 231,939 × 231,939
  4. Step 4: Simplify right side
    160,142x = 53,795,699,721
  5. Step 5: Solve for x
    x = 53,795,699,721/160,142
  6. Step 6: Final answer
    x = 335,924.99

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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.