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Finding the Third Proportional to 216,183.75 and 343,521.75

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Solution

The third proportional to 216,183.75 and 343,521.75 is: 545,865.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,183.75 : 343,521.75 = 343,521.75 : x
  2. Step 2: Convert to fraction form
    216,183.75/343,521.75 = 343,521.75/x
  3. Step 3: Cross multiply
    216,183.75x = 343,521.75 × 343,521.75
  4. Step 4: Simplify right side
    216,183.75x = 118,007,192,723.06
  5. Step 5: Solve for x
    x = 118,007,192,723.06/216,183.75
  6. Step 6: Final answer
    x = 545,865.23

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Why These Related Problems?

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