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Finding the Third Proportional to 213,796 and 332,334

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Solution

The third proportional to 213,796 and 332,334 is: 516,594.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,796 : 332,334 = 332,334 : x
  2. Step 2: Convert to fraction form
    213,796/332,334 = 332,334/x
  3. Step 3: Cross multiply
    213,796x = 332,334 × 332,334
  4. Step 4: Simplify right side
    213,796x = 110,445,887,556
  5. Step 5: Solve for x
    x = 110,445,887,556/213,796
  6. Step 6: Final answer
    x = 516,594.73

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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.