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Finding the Third Proportional to 111,218.06 and 262,225.69

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Solution

The third proportional to 111,218.06 and 262,225.69 is: 618,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,218.06 : 262,225.69 = 262,225.69 : x
  2. Step 2: Convert to fraction form
    111,218.06/262,225.69 = 262,225.69/x
  3. Step 3: Cross multiply
    111,218.06x = 262,225.69 × 262,225.69
  4. Step 4: Simplify right side
    111,218.06x = 68,762,311,184.85
  5. Step 5: Solve for x
    x = 68,762,311,184.85/111,218.06
  6. Step 6: Final answer
    x = 618,265.68

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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.