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Finding the Third Proportional to 139,934 and 301,981

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Solution

The third proportional to 139,934 and 301,981 is: 651,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,934 : 301,981 = 301,981 : x
  2. Step 2: Convert to fraction form
    139,934/301,981 = 301,981/x
  3. Step 3: Cross multiply
    139,934x = 301,981 × 301,981
  4. Step 4: Simplify right side
    139,934x = 91,192,524,361
  5. Step 5: Solve for x
    x = 91,192,524,361/139,934
  6. Step 6: Final answer
    x = 651,682.40

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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.