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Finding the Third Proportional to 138,804 and 207,822

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Solution

The third proportional to 138,804 and 207,822 is: 311,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,804 : 207,822 = 207,822 : x
  2. Step 2: Convert to fraction form
    138,804/207,822 = 207,822/x
  3. Step 3: Cross multiply
    138,804x = 207,822 × 207,822
  4. Step 4: Simplify right side
    138,804x = 43,189,983,684
  5. Step 5: Solve for x
    x = 43,189,983,684/138,804
  6. Step 6: Final answer
    x = 311,158.06

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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.