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Finding the Third Proportional to 213,922 and 332,584

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Solution

The third proportional to 213,922 and 332,584 is: 517,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,922 : 332,584 = 332,584 : x
  2. Step 2: Convert to fraction form
    213,922/332,584 = 332,584/x
  3. Step 3: Cross multiply
    213,922x = 332,584 × 332,584
  4. Step 4: Simplify right side
    213,922x = 110,612,117,056
  5. Step 5: Solve for x
    x = 110,612,117,056/213,922
  6. Step 6: Final answer
    x = 517,067.52

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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.