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Finding the Third Proportional to 94,424 and 206,020

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Solution

The third proportional to 94,424 and 206,020 is: 449,506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,424 : 206,020 = 206,020 : x
  2. Step 2: Convert to fraction form
    94,424/206,020 = 206,020/x
  3. Step 3: Cross multiply
    94,424x = 206,020 × 206,020
  4. Step 4: Simplify right side
    94,424x = 42,444,240,400
  5. Step 5: Solve for x
    x = 42,444,240,400/94,424
  6. Step 6: Final answer
    x = 449,506.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.