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Finding the Third Proportional to 234,383.50 and 331,868

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Solution

The third proportional to 234,383.50 and 331,868 is: 469,898.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,383.50 : 331,868 = 331,868 : x
  2. Step 2: Convert to fraction form
    234,383.50/331,868 = 331,868/x
  3. Step 3: Cross multiply
    234,383.50x = 331,868 × 331,868
  4. Step 4: Simplify right side
    234,383.50x = 110,136,369,424
  5. Step 5: Solve for x
    x = 110,136,369,424/234,383.50
  6. Step 6: Final answer
    x = 469,898.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.