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Finding the Third Proportional to 218,916 and 279,727.50

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Solution

The third proportional to 218,916 and 279,727.50 is: 357,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,916 : 279,727.50 = 279,727.50 : x
  2. Step 2: Convert to fraction form
    218,916/279,727.50 = 279,727.50/x
  3. Step 3: Cross multiply
    218,916x = 279,727.50 × 279,727.50
  4. Step 4: Simplify right side
    218,916x = 78,247,474,256.25
  5. Step 5: Solve for x
    x = 78,247,474,256.25/218,916
  6. Step 6: Final answer
    x = 357,431.50

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.