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Finding the Third Proportional to 218,483.25 and 332,286

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Solution

The third proportional to 218,483.25 and 332,286 is: 505,365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,483.25 : 332,286 = 332,286 : x
  2. Step 2: Convert to fraction form
    218,483.25/332,286 = 332,286/x
  3. Step 3: Cross multiply
    218,483.25x = 332,286 × 332,286
  4. Step 4: Simplify right side
    218,483.25x = 110,413,985,796
  5. Step 5: Solve for x
    x = 110,413,985,796/218,483.25
  6. Step 6: Final answer
    x = 505,365.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.