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Finding the Third Proportional to 151,854.75 and 222,846.19

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Solution

The third proportional to 151,854.75 and 222,846.19 is: 327,025.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,854.75 : 222,846.19 = 222,846.19 : x
  2. Step 2: Convert to fraction form
    151,854.75/222,846.19 = 222,846.19/x
  3. Step 3: Cross multiply
    151,854.75x = 222,846.19 × 222,846.19
  4. Step 4: Simplify right side
    151,854.75x = 49,660,423,283.29
  5. Step 5: Solve for x
    x = 49,660,423,283.29/151,854.75
  6. Step 6: Final answer
    x = 327,025.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.