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Finding the Third Proportional to 147,704 and 222,910

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Solution

The third proportional to 147,704 and 222,910 is: 336,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,704 : 222,910 = 222,910 : x
  2. Step 2: Convert to fraction form
    147,704/222,910 = 222,910/x
  3. Step 3: Cross multiply
    147,704x = 222,910 × 222,910
  4. Step 4: Simplify right side
    147,704x = 49,688,868,100
  5. Step 5: Solve for x
    x = 49,688,868,100/147,704
  6. Step 6: Final answer
    x = 336,408.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.