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Finding the Third Proportional to 104,521.50 and 225,813

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Solution

The third proportional to 104,521.50 and 225,813 is: 487,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,521.50 : 225,813 = 225,813 : x
  2. Step 2: Convert to fraction form
    104,521.50/225,813 = 225,813/x
  3. Step 3: Cross multiply
    104,521.50x = 225,813 × 225,813
  4. Step 4: Simplify right side
    104,521.50x = 50,991,510,969
  5. Step 5: Solve for x
    x = 50,991,510,969/104,521.50
  6. Step 6: Final answer
    x = 487,856.67

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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.