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Finding the Third Proportional to 213,627 and 332,105

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Solution

The third proportional to 213,627 and 332,105 is: 516,291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,627 : 332,105 = 332,105 : x
  2. Step 2: Convert to fraction form
    213,627/332,105 = 332,105/x
  3. Step 3: Cross multiply
    213,627x = 332,105 × 332,105
  4. Step 4: Simplify right side
    213,627x = 110,293,731,025
  5. Step 5: Solve for x
    x = 110,293,731,025/213,627
  6. Step 6: Final answer
    x = 516,291.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.