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Finding the Third Proportional to 168,772.50 and 252,976.50

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Solution

The third proportional to 168,772.50 and 252,976.50 is: 379,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,772.50 : 252,976.50 = 252,976.50 : x
  2. Step 2: Convert to fraction form
    168,772.50/252,976.50 = 252,976.50/x
  3. Step 3: Cross multiply
    168,772.50x = 252,976.50 × 252,976.50
  4. Step 4: Simplify right side
    168,772.50x = 63,997,109,552.25
  5. Step 5: Solve for x
    x = 63,997,109,552.25/168,772.50
  6. Step 6: Final answer
    x = 379,191.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.