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Finding the Third Proportional to 104,299 and 224,317.50

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Solution

The third proportional to 104,299 and 224,317.50 is: 482,443.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,299 : 224,317.50 = 224,317.50 : x
  2. Step 2: Convert to fraction form
    104,299/224,317.50 = 224,317.50/x
  3. Step 3: Cross multiply
    104,299x = 224,317.50 × 224,317.50
  4. Step 4: Simplify right side
    104,299x = 50,318,340,806.25
  5. Step 5: Solve for x
    x = 50,318,340,806.25/104,299
  6. Step 6: Final answer
    x = 482,443.18

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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.