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Finding the Third Proportional to 146,993.25 and 207,005.25

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Solution

The third proportional to 146,993.25 and 207,005.25 is: 291,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,993.25 : 207,005.25 = 207,005.25 : x
  2. Step 2: Convert to fraction form
    146,993.25/207,005.25 = 207,005.25/x
  3. Step 3: Cross multiply
    146,993.25x = 207,005.25 × 207,005.25
  4. Step 4: Simplify right side
    146,993.25x = 42,851,173,527.56
  5. Step 5: Solve for x
    x = 42,851,173,527.56/146,993.25
  6. Step 6: Final answer
    x = 291,517.97

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.