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Finding the Third Proportional to 126,450 and 270,897

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Solution

The third proportional to 126,450 and 270,897 is: 580,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,450 : 270,897 = 270,897 : x
  2. Step 2: Convert to fraction form
    126,450/270,897 = 270,897/x
  3. Step 3: Cross multiply
    126,450x = 270,897 × 270,897
  4. Step 4: Simplify right side
    126,450x = 73,385,184,609
  5. Step 5: Solve for x
    x = 73,385,184,609/126,450
  6. Step 6: Final answer
    x = 580,349.42

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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.