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Finding the Third Proportional to 103,366 and 225,190

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Solution

The third proportional to 103,366 and 225,190 is: 490,592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,366 : 225,190 = 225,190 : x
  2. Step 2: Convert to fraction form
    103,366/225,190 = 225,190/x
  3. Step 3: Cross multiply
    103,366x = 225,190 × 225,190
  4. Step 4: Simplify right side
    103,366x = 50,710,536,100
  5. Step 5: Solve for x
    x = 50,710,536,100/103,366
  6. Step 6: Final answer
    x = 490,592.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.