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Finding the Third Proportional to 216,600 and 334,734

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Solution

The third proportional to 216,600 and 334,734 is: 517,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,600 : 334,734 = 334,734 : x
  2. Step 2: Convert to fraction form
    216,600/334,734 = 334,734/x
  3. Step 3: Cross multiply
    216,600x = 334,734 × 334,734
  4. Step 4: Simplify right side
    216,600x = 112,046,850,756
  5. Step 5: Solve for x
    x = 112,046,850,756/216,600
  6. Step 6: Final answer
    x = 517,298.48

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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.