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Finding the Third Proportional to 228.19 and 499.97

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Solution

The third proportional to 228.19 and 499.97 is: 1,095.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.19 : 499.97 = 499.97 : x
  2. Step 2: Convert to fraction form
    228.19/499.97 = 499.97/x
  3. Step 3: Cross multiply
    228.19x = 499.97 × 499.97
  4. Step 4: Simplify right side
    228.19x = 249,968.75
  5. Step 5: Solve for x
    x = 249,968.75/228.19
  6. Step 6: Final answer
    x = 1,095.45

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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.