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Finding the Third Proportional to 105,359.50 and 228,215

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Solution

The third proportional to 105,359.50 and 228,215 is: 494,327.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,359.50 : 228,215 = 228,215 : x
  2. Step 2: Convert to fraction form
    105,359.50/228,215 = 228,215/x
  3. Step 3: Cross multiply
    105,359.50x = 228,215 × 228,215
  4. Step 4: Simplify right side
    105,359.50x = 52,082,086,225
  5. Step 5: Solve for x
    x = 52,082,086,225/105,359.50
  6. Step 6: Final answer
    x = 494,327.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.