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Finding the Third Proportional to 168,133.50 and 252,402.75

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Solution

The third proportional to 168,133.50 and 252,402.75 is: 378,908.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,133.50 : 252,402.75 = 252,402.75 : x
  2. Step 2: Convert to fraction form
    168,133.50/252,402.75 = 252,402.75/x
  3. Step 3: Cross multiply
    168,133.50x = 252,402.75 × 252,402.75
  4. Step 4: Simplify right side
    168,133.50x = 63,707,148,207.56
  5. Step 5: Solve for x
    x = 63,707,148,207.56/168,133.50
  6. Step 6: Final answer
    x = 378,908.12

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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.