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Finding the Third Proportional to 168,780 and 254,466

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Solution

The third proportional to 168,780 and 254,466 is: 383,652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,780 : 254,466 = 254,466 : x
  2. Step 2: Convert to fraction form
    168,780/254,466 = 254,466/x
  3. Step 3: Cross multiply
    168,780x = 254,466 × 254,466
  4. Step 4: Simplify right side
    168,780x = 64,752,945,156
  5. Step 5: Solve for x
    x = 64,752,945,156/168,780
  6. Step 6: Final answer
    x = 383,652.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.