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Finding the Third Proportional to 227,379 and 353,056.50

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Solution

The third proportional to 227,379 and 353,056.50 is: 548,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,379 : 353,056.50 = 353,056.50 : x
  2. Step 2: Convert to fraction form
    227,379/353,056.50 = 353,056.50/x
  3. Step 3: Cross multiply
    227,379x = 353,056.50 × 353,056.50
  4. Step 4: Simplify right side
    227,379x = 124,648,892,192.25
  5. Step 5: Solve for x
    x = 124,648,892,192.25/227,379
  6. Step 6: Final answer
    x = 548,198.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.