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Finding the Third Proportional to 225,374 and 337,356

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Solution

The third proportional to 225,374 and 337,356 is: 504,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,374 : 337,356 = 337,356 : x
  2. Step 2: Convert to fraction form
    225,374/337,356 = 337,356/x
  3. Step 3: Cross multiply
    225,374x = 337,356 × 337,356
  4. Step 4: Simplify right side
    225,374x = 113,809,070,736
  5. Step 5: Solve for x
    x = 113,809,070,736/225,374
  6. Step 6: Final answer
    x = 504,978.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.