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Finding the Third Proportional to 131,401 and 203,011

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Solution

The third proportional to 131,401 and 203,011 is: 313,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,401 : 203,011 = 203,011 : x
  2. Step 2: Convert to fraction form
    131,401/203,011 = 203,011/x
  3. Step 3: Cross multiply
    131,401x = 203,011 × 203,011
  4. Step 4: Simplify right side
    131,401x = 41,213,466,121
  5. Step 5: Solve for x
    x = 41,213,466,121/131,401
  6. Step 6: Final answer
    x = 313,646.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.