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Finding the Third Proportional to 167,330 and 254,915

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Solution

The third proportional to 167,330 and 254,915 is: 388,344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,330 : 254,915 = 254,915 : x
  2. Step 2: Convert to fraction form
    167,330/254,915 = 254,915/x
  3. Step 3: Cross multiply
    167,330x = 254,915 × 254,915
  4. Step 4: Simplify right side
    167,330x = 64,981,657,225
  5. Step 5: Solve for x
    x = 64,981,657,225/167,330
  6. Step 6: Final answer
    x = 388,344.33

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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.