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Finding the Third Proportional to 209,055 and 315,540

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Solution

The third proportional to 209,055 and 315,540 is: 476,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,055 : 315,540 = 315,540 : x
  2. Step 2: Convert to fraction form
    209,055/315,540 = 315,540/x
  3. Step 3: Cross multiply
    209,055x = 315,540 × 315,540
  4. Step 4: Simplify right side
    209,055x = 99,565,491,600
  5. Step 5: Solve for x
    x = 99,565,491,600/209,055
  6. Step 6: Final answer
    x = 476,264.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.