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Finding the Third Proportional to 206,190.25 and 288,051.82

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Solution

The third proportional to 206,190.25 and 288,051.82 is: 402,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,190.25 : 288,051.82 = 288,051.82 : x
  2. Step 2: Convert to fraction form
    206,190.25/288,051.82 = 288,051.82/x
  3. Step 3: Cross multiply
    206,190.25x = 288,051.82 × 288,051.82
  4. Step 4: Simplify right side
    206,190.25x = 82,973,851,185.34
  5. Step 5: Solve for x
    x = 82,973,851,185.34/206,190.25
  6. Step 6: Final answer
    x = 402,414.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.