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Finding the Third Proportional to 213,734 and 332,268

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Solution

The third proportional to 213,734 and 332,268 is: 516,539.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,734 : 332,268 = 332,268 : x
  2. Step 2: Convert to fraction form
    213,734/332,268 = 332,268/x
  3. Step 3: Cross multiply
    213,734x = 332,268 × 332,268
  4. Step 4: Simplify right side
    213,734x = 110,402,023,824
  5. Step 5: Solve for x
    x = 110,402,023,824/213,734
  6. Step 6: Final answer
    x = 516,539.36

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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.