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Finding the Third Proportional to 228,231 and 333,895.50

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Solution

The third proportional to 228,231 and 333,895.50 is: 488,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,231 : 333,895.50 = 333,895.50 : x
  2. Step 2: Convert to fraction form
    228,231/333,895.50 = 333,895.50/x
  3. Step 3: Cross multiply
    228,231x = 333,895.50 × 333,895.50
  4. Step 4: Simplify right side
    228,231x = 111,486,204,920.25
  5. Step 5: Solve for x
    x = 111,486,204,920.25/228,231
  6. Step 6: Final answer
    x = 488,479.68

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.