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Finding the Third Proportional to 155,979 and 231,674.25

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Solution

The third proportional to 155,979 and 231,674.25 is: 344,103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,979 : 231,674.25 = 231,674.25 : x
  2. Step 2: Convert to fraction form
    155,979/231,674.25 = 231,674.25/x
  3. Step 3: Cross multiply
    155,979x = 231,674.25 × 231,674.25
  4. Step 4: Simplify right side
    155,979x = 53,672,958,113.06
  5. Step 5: Solve for x
    x = 53,672,958,113.06/155,979
  6. Step 6: Final answer
    x = 344,103.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.