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Finding the Third Proportional to 138,110 and 300,822

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Solution

The third proportional to 138,110 and 300,822 is: 655,230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,110 : 300,822 = 300,822 : x
  2. Step 2: Convert to fraction form
    138,110/300,822 = 300,822/x
  3. Step 3: Cross multiply
    138,110x = 300,822 × 300,822
  4. Step 4: Simplify right side
    138,110x = 90,493,875,684
  5. Step 5: Solve for x
    x = 90,493,875,684/138,110
  6. Step 6: Final answer
    x = 655,230.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.