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Finding the Third Proportional to 139,540 and 320,014

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Solution

The third proportional to 139,540 and 320,014 is: 733,903.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,540 : 320,014 = 320,014 : x
  2. Step 2: Convert to fraction form
    139,540/320,014 = 320,014/x
  3. Step 3: Cross multiply
    139,540x = 320,014 × 320,014
  4. Step 4: Simplify right side
    139,540x = 102,408,960,196
  5. Step 5: Solve for x
    x = 102,408,960,196/139,540
  6. Step 6: Final answer
    x = 733,903.97

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.