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Finding the Third Proportional to 227.81 and 499.94

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Solution

The third proportional to 227.81 and 499.94 is: 1,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.81 : 499.94 = 499.94 : x
  2. Step 2: Convert to fraction form
    227.81/499.94 = 499.94/x
  3. Step 3: Cross multiply
    227.81x = 499.94 × 499.94
  4. Step 4: Simplify right side
    227.81x = 249,941.65
  5. Step 5: Solve for x
    x = 249,941.65/227.81
  6. Step 6: Final answer
    x = 1,097.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.