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Finding the Third Proportional to 104,298 and 224,315.25

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Solution

The third proportional to 104,298 and 224,315.25 is: 482,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,298 : 224,315.25 = 224,315.25 : x
  2. Step 2: Convert to fraction form
    104,298/224,315.25 = 224,315.25/x
  3. Step 3: Cross multiply
    104,298x = 224,315.25 × 224,315.25
  4. Step 4: Simplify right side
    104,298x = 50,317,331,382.56
  5. Step 5: Solve for x
    x = 50,317,331,382.56/104,298
  6. Step 6: Final answer
    x = 482,438.12

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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.