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Finding the Third Proportional to 104,190 and 224,202

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Solution

The third proportional to 104,190 and 224,202 is: 482,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,190 : 224,202 = 224,202 : x
  2. Step 2: Convert to fraction form
    104,190/224,202 = 224,202/x
  3. Step 3: Cross multiply
    104,190x = 224,202 × 224,202
  4. Step 4: Simplify right side
    104,190x = 50,266,536,804
  5. Step 5: Solve for x
    x = 50,266,536,804/104,190
  6. Step 6: Final answer
    x = 482,450.68

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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.