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Finding the Third Proportional to 188,510 and 409,744

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Solution

The third proportional to 188,510 and 409,744 is: 890,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,510 : 409,744 = 409,744 : x
  2. Step 2: Convert to fraction form
    188,510/409,744 = 409,744/x
  3. Step 3: Cross multiply
    188,510x = 409,744 × 409,744
  4. Step 4: Simplify right side
    188,510x = 167,890,145,536
  5. Step 5: Solve for x
    x = 167,890,145,536/188,510
  6. Step 6: Final answer
    x = 890,616.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.