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Finding the Third Proportional to 104,452 and 224,617

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Solution

The third proportional to 104,452 and 224,617 is: 483,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,452 : 224,617 = 224,617 : x
  2. Step 2: Convert to fraction form
    104,452/224,617 = 224,617/x
  3. Step 3: Cross multiply
    104,452x = 224,617 × 224,617
  4. Step 4: Simplify right side
    104,452x = 50,452,796,689
  5. Step 5: Solve for x
    x = 50,452,796,689/104,452
  6. Step 6: Final answer
    x = 483,023.75

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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.