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Finding the Third Proportional to 216,183 and 343,519.50

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Solution

The third proportional to 216,183 and 343,519.50 is: 545,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,183 : 343,519.50 = 343,519.50 : x
  2. Step 2: Convert to fraction form
    216,183/343,519.50 = 343,519.50/x
  3. Step 3: Cross multiply
    216,183x = 343,519.50 × 343,519.50
  4. Step 4: Simplify right side
    216,183x = 118,005,646,880.25
  5. Step 5: Solve for x
    x = 118,005,646,880.25/216,183
  6. Step 6: Final answer
    x = 545,859.97

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.