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Finding the Third Proportional to 147,191 and 320,950

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Solution

The third proportional to 147,191 and 320,950 is: 699,831.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,191 : 320,950 = 320,950 : x
  2. Step 2: Convert to fraction form
    147,191/320,950 = 320,950/x
  3. Step 3: Cross multiply
    147,191x = 320,950 × 320,950
  4. Step 4: Simplify right side
    147,191x = 103,008,902,500
  5. Step 5: Solve for x
    x = 103,008,902,500/147,191
  6. Step 6: Final answer
    x = 699,831.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.