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Finding the Third Proportional to 187,224 and 407,744

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Solution

The third proportional to 187,224 and 407,744 is: 888,001.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,224 : 407,744 = 407,744 : x
  2. Step 2: Convert to fraction form
    187,224/407,744 = 407,744/x
  3. Step 3: Cross multiply
    187,224x = 407,744 × 407,744
  4. Step 4: Simplify right side
    187,224x = 166,255,169,536
  5. Step 5: Solve for x
    x = 166,255,169,536/187,224
  6. Step 6: Final answer
    x = 888,001.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.