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Finding the Third Proportional to 138,300.75 and 206,566.88

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Solution

The third proportional to 138,300.75 and 206,566.88 is: 308,529.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,300.75 : 206,566.88 = 206,566.88 : x
  2. Step 2: Convert to fraction form
    138,300.75/206,566.88 = 206,566.88/x
  3. Step 3: Cross multiply
    138,300.75x = 206,566.88 × 206,566.88
  4. Step 4: Simplify right side
    138,300.75x = 42,669,873,847.27
  5. Step 5: Solve for x
    x = 42,669,873,847.27/138,300.75
  6. Step 6: Final answer
    x = 308,529.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.