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Finding the Third Proportional to 104,550 and 226,380

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Solution

The third proportional to 104,550 and 226,380 is: 490,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,550 : 226,380 = 226,380 : x
  2. Step 2: Convert to fraction form
    104,550/226,380 = 226,380/x
  3. Step 3: Cross multiply
    104,550x = 226,380 × 226,380
  4. Step 4: Simplify right side
    104,550x = 51,247,904,400
  5. Step 5: Solve for x
    x = 51,247,904,400/104,550
  6. Step 6: Final answer
    x = 490,176.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.