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Finding the Third Proportional to 229,821 and 349,596

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Solution

The third proportional to 229,821 and 349,596 is: 531,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,821 : 349,596 = 349,596 : x
  2. Step 2: Convert to fraction form
    229,821/349,596 = 349,596/x
  3. Step 3: Cross multiply
    229,821x = 349,596 × 349,596
  4. Step 4: Simplify right side
    229,821x = 122,217,363,216
  5. Step 5: Solve for x
    x = 122,217,363,216/229,821
  6. Step 6: Final answer
    x = 531,793.71

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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.