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Finding the Third Proportional to 162,911.25 and 227,589.75

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Solution

The third proportional to 162,911.25 and 227,589.75 is: 317,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,911.25 : 227,589.75 = 227,589.75 : x
  2. Step 2: Convert to fraction form
    162,911.25/227,589.75 = 227,589.75/x
  3. Step 3: Cross multiply
    162,911.25x = 227,589.75 × 227,589.75
  4. Step 4: Simplify right side
    162,911.25x = 51,797,094,305.06
  5. Step 5: Solve for x
    x = 51,797,094,305.06/162,911.25
  6. Step 6: Final answer
    x = 317,946.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.