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Finding the Third Proportional to 167,351.06 and 254,952.56

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Solution

The third proportional to 167,351.06 and 254,952.56 is: 388,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,351.06 : 254,952.56 = 254,952.56 : x
  2. Step 2: Convert to fraction form
    167,351.06/254,952.56 = 254,952.56/x
  3. Step 3: Cross multiply
    167,351.06x = 254,952.56 × 254,952.56
  4. Step 4: Simplify right side
    167,351.06x = 65,000,809,125.32
  5. Step 5: Solve for x
    x = 65,000,809,125.32/167,351.06
  6. Step 6: Final answer
    x = 388,409.90

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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.