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Finding the Third Proportional to 151,176.75 and 218,531.25

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Solution

The third proportional to 151,176.75 and 218,531.25 is: 315,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,176.75 : 218,531.25 = 218,531.25 : x
  2. Step 2: Convert to fraction form
    151,176.75/218,531.25 = 218,531.25/x
  3. Step 3: Cross multiply
    151,176.75x = 218,531.25 × 218,531.25
  4. Step 4: Simplify right side
    151,176.75x = 47,755,907,226.56
  5. Step 5: Solve for x
    x = 47,755,907,226.56/151,176.75
  6. Step 6: Final answer
    x = 315,894.52

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.