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Finding the Third Proportional to 206,700 and 442,922

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Solution

The third proportional to 206,700 and 442,922 is: 949,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,700 : 442,922 = 442,922 : x
  2. Step 2: Convert to fraction form
    206,700/442,922 = 442,922/x
  3. Step 3: Cross multiply
    206,700x = 442,922 × 442,922
  4. Step 4: Simplify right side
    206,700x = 196,179,898,084
  5. Step 5: Solve for x
    x = 196,179,898,084/206,700
  6. Step 6: Final answer
    x = 949,104.49

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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.