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Finding the Third Proportional to 177,428.25 and 255,042.75

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Solution

The third proportional to 177,428.25 and 255,042.75 is: 366,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,428.25 : 255,042.75 = 255,042.75 : x
  2. Step 2: Convert to fraction form
    177,428.25/255,042.75 = 255,042.75/x
  3. Step 3: Cross multiply
    177,428.25x = 255,042.75 × 255,042.75
  4. Step 4: Simplify right side
    177,428.25x = 65,046,804,327.56
  5. Step 5: Solve for x
    x = 65,046,804,327.56/177,428.25
  6. Step 6: Final answer
    x = 366,609.06

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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.