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Finding the Third Proportional to 206,315 and 451,995.50

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Solution

The third proportional to 206,315 and 451,995.50 is: 990,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,315 : 451,995.50 = 451,995.50 : x
  2. Step 2: Convert to fraction form
    206,315/451,995.50 = 451,995.50/x
  3. Step 3: Cross multiply
    206,315x = 451,995.50 × 451,995.50
  4. Step 4: Simplify right side
    206,315x = 204,299,932,020.25
  5. Step 5: Solve for x
    x = 204,299,932,020.25/206,315
  6. Step 6: Final answer
    x = 990,233.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.