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Finding the Third Proportional to 119,572.17 and 262,469.39

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Solution

The third proportional to 119,572.17 and 262,469.39 is: 576,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,572.17 : 262,469.39 = 262,469.39 : x
  2. Step 2: Convert to fraction form
    119,572.17/262,469.39 = 262,469.39/x
  3. Step 3: Cross multiply
    119,572.17x = 262,469.39 × 262,469.39
  4. Step 4: Simplify right side
    119,572.17x = 68,890,181,015.06
  5. Step 5: Solve for x
    x = 68,890,181,015.06/119,572.17
  6. Step 6: Final answer
    x = 576,138.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.