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Finding the Third Proportional to 167,657.50 and 253,653

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Solution

The third proportional to 167,657.50 and 253,653 is: 383,757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,657.50 : 253,653 = 253,653 : x
  2. Step 2: Convert to fraction form
    167,657.50/253,653 = 253,653/x
  3. Step 3: Cross multiply
    167,657.50x = 253,653 × 253,653
  4. Step 4: Simplify right side
    167,657.50x = 64,339,844,409
  5. Step 5: Solve for x
    x = 64,339,844,409/167,657.50
  6. Step 6: Final answer
    x = 383,757.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.