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Finding the Third Proportional to 111,214.75 and 262,426

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Solution

The third proportional to 111,214.75 and 262,426 is: 619,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,214.75 : 262,426 = 262,426 : x
  2. Step 2: Convert to fraction form
    111,214.75/262,426 = 262,426/x
  3. Step 3: Cross multiply
    111,214.75x = 262,426 × 262,426
  4. Step 4: Simplify right side
    111,214.75x = 68,867,405,476
  5. Step 5: Solve for x
    x = 68,867,405,476/111,214.75
  6. Step 6: Final answer
    x = 619,229.06

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.