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Finding the Third Proportional to 126,225 and 270,180

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Solution

The third proportional to 126,225 and 270,180 is: 578,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,225 : 270,180 = 270,180 : x
  2. Step 2: Convert to fraction form
    126,225/270,180 = 270,180/x
  3. Step 3: Cross multiply
    126,225x = 270,180 × 270,180
  4. Step 4: Simplify right side
    126,225x = 72,997,232,400
  5. Step 5: Solve for x
    x = 72,997,232,400/126,225
  6. Step 6: Final answer
    x = 578,310.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.