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Finding the Third Proportional to 219,069 and 332,703

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Solution

The third proportional to 219,069 and 332,703 is: 505,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,069 : 332,703 = 332,703 : x
  2. Step 2: Convert to fraction form
    219,069/332,703 = 332,703/x
  3. Step 3: Cross multiply
    219,069x = 332,703 × 332,703
  4. Step 4: Simplify right side
    219,069x = 110,691,286,209
  5. Step 5: Solve for x
    x = 110,691,286,209/219,069
  6. Step 6: Final answer
    x = 505,280.47

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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.