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Finding the Third Proportional to 154,822 and 339,150

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Solution

The third proportional to 154,822 and 339,150 is: 742,935.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,822 : 339,150 = 339,150 : x
  2. Step 2: Convert to fraction form
    154,822/339,150 = 339,150/x
  3. Step 3: Cross multiply
    154,822x = 339,150 × 339,150
  4. Step 4: Simplify right side
    154,822x = 115,022,722,500
  5. Step 5: Solve for x
    x = 115,022,722,500/154,822
  6. Step 6: Final answer
    x = 742,935.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.