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Finding the Third Proportional to 226,516.50 and 317,529

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Solution

The third proportional to 226,516.50 and 317,529 is: 445,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,516.50 : 317,529 = 317,529 : x
  2. Step 2: Convert to fraction form
    226,516.50/317,529 = 317,529/x
  3. Step 3: Cross multiply
    226,516.50x = 317,529 × 317,529
  4. Step 4: Simplify right side
    226,516.50x = 100,824,665,841
  5. Step 5: Solve for x
    x = 100,824,665,841/226,516.50
  6. Step 6: Final answer
    x = 445,109.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.