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Finding the Third Proportional to 216,891 and 324,184.50

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Solution

The third proportional to 216,891 and 324,184.50 is: 484,554.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,891 : 324,184.50 = 324,184.50 : x
  2. Step 2: Convert to fraction form
    216,891/324,184.50 = 324,184.50/x
  3. Step 3: Cross multiply
    216,891x = 324,184.50 × 324,184.50
  4. Step 4: Simplify right side
    216,891x = 105,095,590,040.25
  5. Step 5: Solve for x
    x = 105,095,590,040.25/216,891
  6. Step 6: Final answer
    x = 484,554.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.