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Finding the Third Proportional to 221,679.75 and 343,956

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Solution

The third proportional to 221,679.75 and 343,956 is: 533,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,679.75 : 343,956 = 343,956 : x
  2. Step 2: Convert to fraction form
    221,679.75/343,956 = 343,956/x
  3. Step 3: Cross multiply
    221,679.75x = 343,956 × 343,956
  4. Step 4: Simplify right side
    221,679.75x = 118,305,729,936
  5. Step 5: Solve for x
    x = 118,305,729,936/221,679.75
  6. Step 6: Final answer
    x = 533,678.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.