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Finding the Third Proportional to 273,252 and 560,110

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Solution

The third proportional to 273,252 and 560,110 is: 1,148,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,252 : 560,110 = 560,110 : x
  2. Step 2: Convert to fraction form
    273,252/560,110 = 560,110/x
  3. Step 3: Cross multiply
    273,252x = 560,110 × 560,110
  4. Step 4: Simplify right side
    273,252x = 313,723,212,100
  5. Step 5: Solve for x
    x = 313,723,212,100/273,252
  6. Step 6: Final answer
    x = 1,148,109.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.