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Finding the Third Proportional to 167,337.75 and 254,928

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Solution

The third proportional to 167,337.75 and 254,928 is: 388,365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,337.75 : 254,928 = 254,928 : x
  2. Step 2: Convert to fraction form
    167,337.75/254,928 = 254,928/x
  3. Step 3: Cross multiply
    167,337.75x = 254,928 × 254,928
  4. Step 4: Simplify right side
    167,337.75x = 64,988,285,184
  5. Step 5: Solve for x
    x = 64,988,285,184/167,337.75
  6. Step 6: Final answer
    x = 388,365.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.