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Finding the Third Proportional to 227,238.75 and 492,085.13

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Solution

The third proportional to 227,238.75 and 492,085.13 is: 1,065,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,238.75 : 492,085.13 = 492,085.13 : x
  2. Step 2: Convert to fraction form
    227,238.75/492,085.13 = 492,085.13/x
  3. Step 3: Cross multiply
    227,238.75x = 492,085.13 × 492,085.13
  4. Step 4: Simplify right side
    227,238.75x = 242,147,770,246.27
  5. Step 5: Solve for x
    x = 242,147,770,246.27/227,238.75
  6. Step 6: Final answer
    x = 1,065,609.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.