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Finding the Third Proportional to 115,425 and 252,180

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Solution

The third proportional to 115,425 and 252,180 is: 550,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,425 : 252,180 = 252,180 : x
  2. Step 2: Convert to fraction form
    115,425/252,180 = 252,180/x
  3. Step 3: Cross multiply
    115,425x = 252,180 × 252,180
  4. Step 4: Simplify right side
    115,425x = 63,594,752,400
  5. Step 5: Solve for x
    x = 63,594,752,400/115,425
  6. Step 6: Final answer
    x = 550,961.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.