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Finding the Third Proportional to 223,578 and 332,329

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Solution

The third proportional to 223,578 and 332,329 is: 493,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,578 : 332,329 = 332,329 : x
  2. Step 2: Convert to fraction form
    223,578/332,329 = 332,329/x
  3. Step 3: Cross multiply
    223,578x = 332,329 × 332,329
  4. Step 4: Simplify right side
    223,578x = 110,442,564,241
  5. Step 5: Solve for x
    x = 110,442,564,241/223,578
  6. Step 6: Final answer
    x = 493,977.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.