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Finding the Third Proportional to 268,218 and 558,258.75

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Solution

The third proportional to 268,218 and 558,258.75 is: 1,161,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,218 : 558,258.75 = 558,258.75 : x
  2. Step 2: Convert to fraction form
    268,218/558,258.75 = 558,258.75/x
  3. Step 3: Cross multiply
    268,218x = 558,258.75 × 558,258.75
  4. Step 4: Simplify right side
    268,218x = 311,652,831,951.56
  5. Step 5: Solve for x
    x = 311,652,831,951.56/268,218
  6. Step 6: Final answer
    x = 1,161,938.54

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.