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Finding the Third Proportional to 175,002 and 262,448

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Solution

The third proportional to 175,002 and 262,448 is: 393,589.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,002 : 262,448 = 262,448 : x
  2. Step 2: Convert to fraction form
    175,002/262,448 = 262,448/x
  3. Step 3: Cross multiply
    175,002x = 262,448 × 262,448
  4. Step 4: Simplify right side
    175,002x = 68,878,952,704
  5. Step 5: Solve for x
    x = 68,878,952,704/175,002
  6. Step 6: Final answer
    x = 393,589.52

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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.