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Finding the Third Proportional to 225,816 and 331,968

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Solution

The third proportional to 225,816 and 331,968 is: 488,020.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,816 : 331,968 = 331,968 : x
  2. Step 2: Convert to fraction form
    225,816/331,968 = 331,968/x
  3. Step 3: Cross multiply
    225,816x = 331,968 × 331,968
  4. Step 4: Simplify right side
    225,816x = 110,202,753,024
  5. Step 5: Solve for x
    x = 110,202,753,024/225,816
  6. Step 6: Final answer
    x = 488,020.13

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.