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Finding the Third Proportional to 213,568 and 332,448

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Solution

The third proportional to 213,568 and 332,448 is: 517,501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,568 : 332,448 = 332,448 : x
  2. Step 2: Convert to fraction form
    213,568/332,448 = 332,448/x
  3. Step 3: Cross multiply
    213,568x = 332,448 × 332,448
  4. Step 4: Simplify right side
    213,568x = 110,521,672,704
  5. Step 5: Solve for x
    x = 110,521,672,704/213,568
  6. Step 6: Final answer
    x = 517,501.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.