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Finding the Third Proportional to 111,296.63 and 262,462.31

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Solution

The third proportional to 111,296.63 and 262,462.31 is: 618,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,296.63 : 262,462.31 = 262,462.31 : x
  2. Step 2: Convert to fraction form
    111,296.63/262,462.31 = 262,462.31/x
  3. Step 3: Cross multiply
    111,296.63x = 262,462.31 × 262,462.31
  4. Step 4: Simplify right side
    111,296.63x = 68,886,465,482.85
  5. Step 5: Solve for x
    x = 68,886,465,482.85/111,296.63
  6. Step 6: Final answer
    x = 618,944.78

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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.