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Finding the Third Proportional to 216,606 and 334,743

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Solution

The third proportional to 216,606 and 334,743 is: 517,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,606 : 334,743 = 334,743 : x
  2. Step 2: Convert to fraction form
    216,606/334,743 = 334,743/x
  3. Step 3: Cross multiply
    216,606x = 334,743 × 334,743
  4. Step 4: Simplify right side
    216,606x = 112,052,876,049
  5. Step 5: Solve for x
    x = 112,052,876,049/216,606
  6. Step 6: Final answer
    x = 517,311.97

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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.