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Finding the Third Proportional to 104,236 and 224,690

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Solution

The third proportional to 104,236 and 224,690 is: 484,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,236 : 224,690 = 224,690 : x
  2. Step 2: Convert to fraction form
    104,236/224,690 = 224,690/x
  3. Step 3: Cross multiply
    104,236x = 224,690 × 224,690
  4. Step 4: Simplify right side
    104,236x = 50,485,596,100
  5. Step 5: Solve for x
    x = 50,485,596,100/104,236
  6. Step 6: Final answer
    x = 484,339.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.