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Finding the Third Proportional to 209,067 and 318,516.50

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Solution

The third proportional to 209,067 and 318,516.50 is: 485,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,067 : 318,516.50 = 318,516.50 : x
  2. Step 2: Convert to fraction form
    209,067/318,516.50 = 318,516.50/x
  3. Step 3: Cross multiply
    209,067x = 318,516.50 × 318,516.50
  4. Step 4: Simplify right side
    209,067x = 101,452,760,772.25
  5. Step 5: Solve for x
    x = 101,452,760,772.25/209,067
  6. Step 6: Final answer
    x = 485,264.34

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.