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Finding the Third Proportional to 167,177.25 and 253,962

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Solution

The third proportional to 167,177.25 and 253,962 is: 385,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,177.25 : 253,962 = 253,962 : x
  2. Step 2: Convert to fraction form
    167,177.25/253,962 = 253,962/x
  3. Step 3: Cross multiply
    167,177.25x = 253,962 × 253,962
  4. Step 4: Simplify right side
    167,177.25x = 64,496,697,444
  5. Step 5: Solve for x
    x = 64,496,697,444/167,177.25
  6. Step 6: Final answer
    x = 385,798.29

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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.