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Finding the Third Proportional to 168,570 and 252,378

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Solution

The third proportional to 168,570 and 252,378 is: 377,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,570 : 252,378 = 252,378 : x
  2. Step 2: Convert to fraction form
    168,570/252,378 = 252,378/x
  3. Step 3: Cross multiply
    168,570x = 252,378 × 252,378
  4. Step 4: Simplify right side
    168,570x = 63,694,654,884
  5. Step 5: Solve for x
    x = 63,694,654,884/168,570
  6. Step 6: Final answer
    x = 377,852.85

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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.