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Finding the Third Proportional to 168,172.50 and 252,965.25

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Solution

The third proportional to 168,172.50 and 252,965.25 is: 380,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,172.50 : 252,965.25 = 252,965.25 : x
  2. Step 2: Convert to fraction form
    168,172.50/252,965.25 = 252,965.25/x
  3. Step 3: Cross multiply
    168,172.50x = 252,965.25 × 252,965.25
  4. Step 4: Simplify right side
    168,172.50x = 63,991,417,707.56
  5. Step 5: Solve for x
    x = 63,991,417,707.56/168,172.50
  6. Step 6: Final answer
    x = 380,510.59

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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.