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Finding the Third Proportional to 224,865 and 333,891

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Solution

The third proportional to 224,865 and 333,891 is: 495,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,865 : 333,891 = 333,891 : x
  2. Step 2: Convert to fraction form
    224,865/333,891 = 333,891/x
  3. Step 3: Cross multiply
    224,865x = 333,891 × 333,891
  4. Step 4: Simplify right side
    224,865x = 111,483,199,881
  5. Step 5: Solve for x
    x = 111,483,199,881/224,865
  6. Step 6: Final answer
    x = 495,778.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.