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Finding the Third Proportional to 199,500 and 332,466

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Solution

The third proportional to 199,500 and 332,466 is: 554,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,500 : 332,466 = 332,466 : x
  2. Step 2: Convert to fraction form
    199,500/332,466 = 332,466/x
  3. Step 3: Cross multiply
    199,500x = 332,466 × 332,466
  4. Step 4: Simplify right side
    199,500x = 110,533,641,156
  5. Step 5: Solve for x
    x = 110,533,641,156/199,500
  6. Step 6: Final answer
    x = 554,053.34

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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.