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Finding the Third Proportional to 206,622 and 302,854.50

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Solution

The third proportional to 206,622 and 302,854.50 is: 443,906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,622 : 302,854.50 = 302,854.50 : x
  2. Step 2: Convert to fraction form
    206,622/302,854.50 = 302,854.50/x
  3. Step 3: Cross multiply
    206,622x = 302,854.50 × 302,854.50
  4. Step 4: Simplify right side
    206,622x = 91,720,848,170.25
  5. Step 5: Solve for x
    x = 91,720,848,170.25/206,622
  6. Step 6: Final answer
    x = 443,906.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.