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Finding the Third Proportional to 221,823 and 340,965

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Solution

The third proportional to 221,823 and 340,965 is: 524,098.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,823 : 340,965 = 340,965 : x
  2. Step 2: Convert to fraction form
    221,823/340,965 = 340,965/x
  3. Step 3: Cross multiply
    221,823x = 340,965 × 340,965
  4. Step 4: Simplify right side
    221,823x = 116,257,131,225
  5. Step 5: Solve for x
    x = 116,257,131,225/221,823
  6. Step 6: Final answer
    x = 524,098.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.