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Finding the Third Proportional to 228,027.66 and 335,175.47

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Solution

The third proportional to 228,027.66 and 335,175.47 is: 492,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,027.66 : 335,175.47 = 335,175.47 : x
  2. Step 2: Convert to fraction form
    228,027.66/335,175.47 = 335,175.47/x
  3. Step 3: Cross multiply
    228,027.66x = 335,175.47 × 335,175.47
  4. Step 4: Simplify right side
    228,027.66x = 112,342,594,851.78
  5. Step 5: Solve for x
    x = 112,342,594,851.78/228,027.66
  6. Step 6: Final answer
    x = 492,670.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.