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Finding the Third Proportional to 206,752.50 and 422,253

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Solution

The third proportional to 206,752.50 and 422,253 is: 862,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,752.50 : 422,253 = 422,253 : x
  2. Step 2: Convert to fraction form
    206,752.50/422,253 = 422,253/x
  3. Step 3: Cross multiply
    206,752.50x = 422,253 × 422,253
  4. Step 4: Simplify right side
    206,752.50x = 178,297,596,009
  5. Step 5: Solve for x
    x = 178,297,596,009/206,752.50
  6. Step 6: Final answer
    x = 862,372.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.