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Finding the Third Proportional to 199,302 and 332,169

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Solution

The third proportional to 199,302 and 332,169 is: 553,613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,302 : 332,169 = 332,169 : x
  2. Step 2: Convert to fraction form
    199,302/332,169 = 332,169/x
  3. Step 3: Cross multiply
    199,302x = 332,169 × 332,169
  4. Step 4: Simplify right side
    199,302x = 110,336,244,561
  5. Step 5: Solve for x
    x = 110,336,244,561/199,302
  6. Step 6: Final answer
    x = 553,613.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.