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Finding the Third Proportional to 236,704 and 332,938

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Solution

The third proportional to 236,704 and 332,938 is: 468,296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,704 : 332,938 = 332,938 : x
  2. Step 2: Convert to fraction form
    236,704/332,938 = 332,938/x
  3. Step 3: Cross multiply
    236,704x = 332,938 × 332,938
  4. Step 4: Simplify right side
    236,704x = 110,847,711,844
  5. Step 5: Solve for x
    x = 110,847,711,844/236,704
  6. Step 6: Final answer
    x = 468,296.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.