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Finding the Third Proportional to 98,401 and 211,135

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Solution

The third proportional to 98,401 and 211,135 is: 453,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,401 : 211,135 = 211,135 : x
  2. Step 2: Convert to fraction form
    98,401/211,135 = 211,135/x
  3. Step 3: Cross multiply
    98,401x = 211,135 × 211,135
  4. Step 4: Simplify right side
    98,401x = 44,577,988,225
  5. Step 5: Solve for x
    x = 44,577,988,225/98,401
  6. Step 6: Final answer
    x = 453,023.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.