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Finding the Third Proportional to 243,056 and 327,200

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Solution

The third proportional to 243,056 and 327,200 is: 440,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,056 : 327,200 = 327,200 : x
  2. Step 2: Convert to fraction form
    243,056/327,200 = 327,200/x
  3. Step 3: Cross multiply
    243,056x = 327,200 × 327,200
  4. Step 4: Simplify right side
    243,056x = 107,059,840,000
  5. Step 5: Solve for x
    x = 107,059,840,000/243,056
  6. Step 6: Final answer
    x = 440,473.96

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.