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Finding the Third Proportional to 103,868 and 224,398

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Solution

The third proportional to 103,868 and 224,398 is: 484,792.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,868 : 224,398 = 224,398 : x
  2. Step 2: Convert to fraction form
    103,868/224,398 = 224,398/x
  3. Step 3: Cross multiply
    103,868x = 224,398 × 224,398
  4. Step 4: Simplify right side
    103,868x = 50,354,462,404
  5. Step 5: Solve for x
    x = 50,354,462,404/103,868
  6. Step 6: Final answer
    x = 484,792.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.