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Finding the Third Proportional to 209,055 and 318,496.50

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Solution

The third proportional to 209,055 and 318,496.50 is: 485,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,055 : 318,496.50 = 318,496.50 : x
  2. Step 2: Convert to fraction form
    209,055/318,496.50 = 318,496.50/x
  3. Step 3: Cross multiply
    209,055x = 318,496.50 × 318,496.50
  4. Step 4: Simplify right side
    209,055x = 101,440,020,512.25
  5. Step 5: Solve for x
    x = 101,440,020,512.25/209,055
  6. Step 6: Final answer
    x = 485,231.26

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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.