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Finding the Third Proportional to 159,546.38 and 236,169

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Solution

The third proportional to 159,546.38 and 236,169 is: 349,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,546.38 : 236,169 = 236,169 : x
  2. Step 2: Convert to fraction form
    159,546.38/236,169 = 236,169/x
  3. Step 3: Cross multiply
    159,546.38x = 236,169 × 236,169
  4. Step 4: Simplify right side
    159,546.38x = 55,775,796,561
  5. Step 5: Solve for x
    x = 55,775,796,561/159,546.38
  6. Step 6: Final answer
    x = 349,589.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.