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Finding the Third Proportional to 104,296.50 and 224,317.13

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Solution

The third proportional to 104,296.50 and 224,317.13 is: 482,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,296.50 : 224,317.13 = 224,317.13 : x
  2. Step 2: Convert to fraction form
    104,296.50/224,317.13 = 224,317.13/x
  3. Step 3: Cross multiply
    104,296.50x = 224,317.13 × 224,317.13
  4. Step 4: Simplify right side
    104,296.50x = 50,318,172,568.27
  5. Step 5: Solve for x
    x = 50,318,172,568.27/104,296.50
  6. Step 6: Final answer
    x = 482,453.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.