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Finding the Third Proportional to 126,330 and 270,165

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Solution

The third proportional to 126,330 and 270,165 is: 577,765.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,330 : 270,165 = 270,165 : x
  2. Step 2: Convert to fraction form
    126,330/270,165 = 270,165/x
  3. Step 3: Cross multiply
    126,330x = 270,165 × 270,165
  4. Step 4: Simplify right side
    126,330x = 72,989,127,225
  5. Step 5: Solve for x
    x = 72,989,127,225/126,330
  6. Step 6: Final answer
    x = 577,765.59

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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.