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Finding the Third Proportional to 105,850.50 and 228,318

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Solution

The third proportional to 105,850.50 and 228,318 is: 492,478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,850.50 : 228,318 = 228,318 : x
  2. Step 2: Convert to fraction form
    105,850.50/228,318 = 228,318/x
  3. Step 3: Cross multiply
    105,850.50x = 228,318 × 228,318
  4. Step 4: Simplify right side
    105,850.50x = 52,129,109,124
  5. Step 5: Solve for x
    x = 52,129,109,124/105,850.50
  6. Step 6: Final answer
    x = 492,478.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.