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Finding the Third Proportional to 199,378.50 and 284,379.75

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Solution

The third proportional to 199,378.50 and 284,379.75 is: 405,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,378.50 : 284,379.75 = 284,379.75 : x
  2. Step 2: Convert to fraction form
    199,378.50/284,379.75 = 284,379.75/x
  3. Step 3: Cross multiply
    199,378.50x = 284,379.75 × 284,379.75
  4. Step 4: Simplify right side
    199,378.50x = 80,871,842,210.06
  5. Step 5: Solve for x
    x = 80,871,842,210.06/199,378.50
  6. Step 6: Final answer
    x = 405,619.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.