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Finding the Third Proportional to 177,266 and 254,826

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Solution

The third proportional to 177,266 and 254,826 is: 366,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,266 : 254,826 = 254,826 : x
  2. Step 2: Convert to fraction form
    177,266/254,826 = 254,826/x
  3. Step 3: Cross multiply
    177,266x = 254,826 × 254,826
  4. Step 4: Simplify right side
    177,266x = 64,936,290,276
  5. Step 5: Solve for x
    x = 64,936,290,276/177,266
  6. Step 6: Final answer
    x = 366,321.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.