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Finding the Third Proportional to 167,837.25 and 256,138.88

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Solution

The third proportional to 167,837.25 and 256,138.88 is: 390,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,837.25 : 256,138.88 = 256,138.88 : x
  2. Step 2: Convert to fraction form
    167,837.25/256,138.88 = 256,138.88/x
  3. Step 3: Cross multiply
    167,837.25x = 256,138.88 × 256,138.88
  4. Step 4: Simplify right side
    167,837.25x = 65,607,123,286.27
  5. Step 5: Solve for x
    x = 65,607,123,286.27/167,837.25
  6. Step 6: Final answer
    x = 390,897.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.