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Finding the Third Proportional to 213,533 and 321,697

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Solution

The third proportional to 213,533 and 321,697 is: 484,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,533 : 321,697 = 321,697 : x
  2. Step 2: Convert to fraction form
    213,533/321,697 = 321,697/x
  3. Step 3: Cross multiply
    213,533x = 321,697 × 321,697
  4. Step 4: Simplify right side
    213,533x = 103,488,959,809
  5. Step 5: Solve for x
    x = 103,488,959,809/213,533
  6. Step 6: Final answer
    x = 484,650.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.