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Finding the Third Proportional to 104,258 and 227,631.50

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Solution

The third proportional to 104,258 and 227,631.50 is: 496,998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,258 : 227,631.50 = 227,631.50 : x
  2. Step 2: Convert to fraction form
    104,258/227,631.50 = 227,631.50/x
  3. Step 3: Cross multiply
    104,258x = 227,631.50 × 227,631.50
  4. Step 4: Simplify right side
    104,258x = 51,816,099,792.25
  5. Step 5: Solve for x
    x = 51,816,099,792.25/104,258
  6. Step 6: Final answer
    x = 496,998.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.