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Finding the Third Proportional to 225,904 and 337,760

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Solution

The third proportional to 225,904 and 337,760 is: 505,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,904 : 337,760 = 337,760 : x
  2. Step 2: Convert to fraction form
    225,904/337,760 = 337,760/x
  3. Step 3: Cross multiply
    225,904x = 337,760 × 337,760
  4. Step 4: Simplify right side
    225,904x = 114,081,817,600
  5. Step 5: Solve for x
    x = 114,081,817,600/225,904
  6. Step 6: Final answer
    x = 505,001.32

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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.