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Finding the Third Proportional to 167,178.38 and 253,960.88

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Solution

The third proportional to 167,178.38 and 253,960.88 is: 385,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,178.38 : 253,960.88 = 253,960.88 : x
  2. Step 2: Convert to fraction form
    167,178.38/253,960.88 = 253,960.88/x
  3. Step 3: Cross multiply
    167,178.38x = 253,960.88 × 253,960.88
  4. Step 4: Simplify right side
    167,178.38x = 64,496,126,030.77
  5. Step 5: Solve for x
    x = 64,496,126,030.77/167,178.38
  6. Step 6: Final answer
    x = 385,792.28

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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.