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Finding the Third Proportional to 104,572 and 227,396

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Solution

The third proportional to 104,572 and 227,396 is: 494,481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,572 : 227,396 = 227,396 : x
  2. Step 2: Convert to fraction form
    104,572/227,396 = 227,396/x
  3. Step 3: Cross multiply
    104,572x = 227,396 × 227,396
  4. Step 4: Simplify right side
    104,572x = 51,708,940,816
  5. Step 5: Solve for x
    x = 51,708,940,816/104,572
  6. Step 6: Final answer
    x = 494,481.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.