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Finding the Third Proportional to 206,886 and 443,295

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Solution

The third proportional to 206,886 and 443,295 is: 949,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,886 : 443,295 = 443,295 : x
  2. Step 2: Convert to fraction form
    206,886/443,295 = 443,295/x
  3. Step 3: Cross multiply
    206,886x = 443,295 × 443,295
  4. Step 4: Simplify right side
    206,886x = 196,510,457,025
  5. Step 5: Solve for x
    x = 196,510,457,025/206,886
  6. Step 6: Final answer
    x = 949,848.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.