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Finding the Third Proportional to 104,374 and 223,505

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Solution

The third proportional to 104,374 and 223,505 is: 478,610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,374 : 223,505 = 223,505 : x
  2. Step 2: Convert to fraction form
    104,374/223,505 = 223,505/x
  3. Step 3: Cross multiply
    104,374x = 223,505 × 223,505
  4. Step 4: Simplify right side
    104,374x = 49,954,485,025
  5. Step 5: Solve for x
    x = 49,954,485,025/104,374
  6. Step 6: Final answer
    x = 478,610.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.