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Finding the Third Proportional to 206,066 and 439,132

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Solution

The third proportional to 206,066 and 439,132 is: 935,801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,066 : 439,132 = 439,132 : x
  2. Step 2: Convert to fraction form
    206,066/439,132 = 439,132/x
  3. Step 3: Cross multiply
    206,066x = 439,132 × 439,132
  4. Step 4: Simplify right side
    206,066x = 192,836,913,424
  5. Step 5: Solve for x
    x = 192,836,913,424/206,066
  6. Step 6: Final answer
    x = 935,801.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.