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Finding the Third Proportional to 104.04 and 228.02

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Solution

The third proportional to 104.04 and 228.02 is: 499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.04 : 228.02 = 228.02 : x
  2. Step 2: Convert to fraction form
    104.04/228.02 = 228.02/x
  3. Step 3: Cross multiply
    104.04x = 228.02 × 228.02
  4. Step 4: Simplify right side
    104.04x = 51,994.69
  5. Step 5: Solve for x
    x = 51,994.69/104.04
  6. Step 6: Final answer
    x = 499.73

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