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Finding the Third Proportional to 199,000 and 409,680

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Solution

The third proportional to 199,000 and 409,680 is: 843,405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,000 : 409,680 = 409,680 : x
  2. Step 2: Convert to fraction form
    199,000/409,680 = 409,680/x
  3. Step 3: Cross multiply
    199,000x = 409,680 × 409,680
  4. Step 4: Simplify right side
    199,000x = 167,837,702,400
  5. Step 5: Solve for x
    x = 167,837,702,400/199,000
  6. Step 6: Final answer
    x = 843,405.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.