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Finding the Third Proportional to 206,651 and 438,102

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Solution

The third proportional to 206,651 and 438,102 is: 928,780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,651 : 438,102 = 438,102 : x
  2. Step 2: Convert to fraction form
    206,651/438,102 = 438,102/x
  3. Step 3: Cross multiply
    206,651x = 438,102 × 438,102
  4. Step 4: Simplify right side
    206,651x = 191,933,362,404
  5. Step 5: Solve for x
    x = 191,933,362,404/206,651
  6. Step 6: Final answer
    x = 928,780.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.