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Finding the Third Proportional to 111,719.25 and 228,359.25

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Solution

The third proportional to 111,719.25 and 228,359.25 is: 466,776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,719.25 : 228,359.25 = 228,359.25 : x
  2. Step 2: Convert to fraction form
    111,719.25/228,359.25 = 228,359.25/x
  3. Step 3: Cross multiply
    111,719.25x = 228,359.25 × 228,359.25
  4. Step 4: Simplify right side
    111,719.25x = 52,147,947,060.56
  5. Step 5: Solve for x
    x = 52,147,947,060.56/111,719.25
  6. Step 6: Final answer
    x = 466,776.74

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.