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Finding the Third Proportional to 168,446 and 361,537

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Solution

The third proportional to 168,446 and 361,537 is: 775,969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,446 : 361,537 = 361,537 : x
  2. Step 2: Convert to fraction form
    168,446/361,537 = 361,537/x
  3. Step 3: Cross multiply
    168,446x = 361,537 × 361,537
  4. Step 4: Simplify right side
    168,446x = 130,709,002,369
  5. Step 5: Solve for x
    x = 130,709,002,369/168,446
  6. Step 6: Final answer
    x = 775,969.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.