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Finding the Third Proportional to 168,256 and 260,488

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Solution

The third proportional to 168,256 and 260,488 is: 403,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,256 : 260,488 = 260,488 : x
  2. Step 2: Convert to fraction form
    168,256/260,488 = 260,488/x
  3. Step 3: Cross multiply
    168,256x = 260,488 × 260,488
  4. Step 4: Simplify right side
    168,256x = 67,853,998,144
  5. Step 5: Solve for x
    x = 67,853,998,144/168,256
  6. Step 6: Final answer
    x = 403,278.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.