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Finding the Third Proportional to 168,788 and 254,264

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Solution

The third proportional to 168,788 and 254,264 is: 383,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,788 : 254,264 = 254,264 : x
  2. Step 2: Convert to fraction form
    168,788/254,264 = 254,264/x
  3. Step 3: Cross multiply
    168,788x = 254,264 × 254,264
  4. Step 4: Simplify right side
    168,788x = 64,650,181,696
  5. Step 5: Solve for x
    x = 64,650,181,696/168,788
  6. Step 6: Final answer
    x = 383,025.94

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