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Finding the Third Proportional to 104,330 and 224,860

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Solution

The third proportional to 104,330 and 224,860 is: 484,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,330 : 224,860 = 224,860 : x
  2. Step 2: Convert to fraction form
    104,330/224,860 = 224,860/x
  3. Step 3: Cross multiply
    104,330x = 224,860 × 224,860
  4. Step 4: Simplify right side
    104,330x = 50,562,019,600
  5. Step 5: Solve for x
    x = 50,562,019,600/104,330
  6. Step 6: Final answer
    x = 484,635.48

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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.