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Finding the Third Proportional to 115,764.19 and 246,133.69

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Solution

The third proportional to 115,764.19 and 246,133.69 is: 523,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,764.19 : 246,133.69 = 246,133.69 : x
  2. Step 2: Convert to fraction form
    115,764.19/246,133.69 = 246,133.69/x
  3. Step 3: Cross multiply
    115,764.19x = 246,133.69 × 246,133.69
  4. Step 4: Simplify right side
    115,764.19x = 60,581,792,122.35
  5. Step 5: Solve for x
    x = 60,581,792,122.35/115,764.19
  6. Step 6: Final answer
    x = 523,320.67

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.