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Finding the Third Proportional to 104,299.50 and 224,323

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Solution

The third proportional to 104,299.50 and 224,323 is: 482,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,299.50 : 224,323 = 224,323 : x
  2. Step 2: Convert to fraction form
    104,299.50/224,323 = 224,323/x
  3. Step 3: Cross multiply
    104,299.50x = 224,323 × 224,323
  4. Step 4: Simplify right side
    104,299.50x = 50,320,808,329
  5. Step 5: Solve for x
    x = 50,320,808,329/104,299.50
  6. Step 6: Final answer
    x = 482,464.52

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