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Finding the Third Proportional to 147,981 and 320,868

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Solution

The third proportional to 147,981 and 320,868 is: 695,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,981 : 320,868 = 320,868 : x
  2. Step 2: Convert to fraction form
    147,981/320,868 = 320,868/x
  3. Step 3: Cross multiply
    147,981x = 320,868 × 320,868
  4. Step 4: Simplify right side
    147,981x = 102,956,273,424
  5. Step 5: Solve for x
    x = 102,956,273,424/147,981
  6. Step 6: Final answer
    x = 695,739.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.