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Finding the Third Proportional to 177,531.75 and 275,055.75

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Solution

The third proportional to 177,531.75 and 275,055.75 is: 426,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,531.75 : 275,055.75 = 275,055.75 : x
  2. Step 2: Convert to fraction form
    177,531.75/275,055.75 = 275,055.75/x
  3. Step 3: Cross multiply
    177,531.75x = 275,055.75 × 275,055.75
  4. Step 4: Simplify right side
    177,531.75x = 75,655,665,608.06
  5. Step 5: Solve for x
    x = 75,655,665,608.06/177,531.75
  6. Step 6: Final answer
    x = 426,152.87

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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.