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Finding the Third Proportional to 228,234 and 333,900

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Solution

The third proportional to 228,234 and 333,900 is: 488,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,234 : 333,900 = 333,900 : x
  2. Step 2: Convert to fraction form
    228,234/333,900 = 333,900/x
  3. Step 3: Cross multiply
    228,234x = 333,900 × 333,900
  4. Step 4: Simplify right side
    228,234x = 111,489,210,000
  5. Step 5: Solve for x
    x = 111,489,210,000/228,234
  6. Step 6: Final answer
    x = 488,486.42

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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.