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Finding the Third Proportional to 104,672.25 and 228,906

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Solution

The third proportional to 104,672.25 and 228,906 is: 500,590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,672.25 : 228,906 = 228,906 : x
  2. Step 2: Convert to fraction form
    104,672.25/228,906 = 228,906/x
  3. Step 3: Cross multiply
    104,672.25x = 228,906 × 228,906
  4. Step 4: Simplify right side
    104,672.25x = 52,397,956,836
  5. Step 5: Solve for x
    x = 52,397,956,836/104,672.25
  6. Step 6: Final answer
    x = 500,590.72

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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.