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Finding the Third Proportional to 131,349 and 200,301

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Solution

The third proportional to 131,349 and 200,301 is: 305,449.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,349 : 200,301 = 200,301 : x
  2. Step 2: Convert to fraction form
    131,349/200,301 = 200,301/x
  3. Step 3: Cross multiply
    131,349x = 200,301 × 200,301
  4. Step 4: Simplify right side
    131,349x = 40,120,490,601
  5. Step 5: Solve for x
    x = 40,120,490,601/131,349
  6. Step 6: Final answer
    x = 305,449.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.