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Finding the Third Proportional to 168,742 and 250,519

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Solution

The third proportional to 168,742 and 250,519 is: 371,927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,742 : 250,519 = 250,519 : x
  2. Step 2: Convert to fraction form
    168,742/250,519 = 250,519/x
  3. Step 3: Cross multiply
    168,742x = 250,519 × 250,519
  4. Step 4: Simplify right side
    168,742x = 62,759,769,361
  5. Step 5: Solve for x
    x = 62,759,769,361/168,742
  6. Step 6: Final answer
    x = 371,927.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.