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Finding the Third Proportional to 234,717.75 and 353,199.38

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Solution

The third proportional to 234,717.75 and 353,199.38 is: 531,488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,717.75 : 353,199.38 = 353,199.38 : x
  2. Step 2: Convert to fraction form
    234,717.75/353,199.38 = 353,199.38/x
  3. Step 3: Cross multiply
    234,717.75x = 353,199.38 × 353,199.38
  4. Step 4: Simplify right side
    234,717.75x = 124,749,798,500.39
  5. Step 5: Solve for x
    x = 124,749,798,500.39/234,717.75
  6. Step 6: Final answer
    x = 531,488.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.