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Finding the Third Proportional to 184,222 and 407,168

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Solution

The third proportional to 184,222 and 407,168 is: 899,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,222 : 407,168 = 407,168 : x
  2. Step 2: Convert to fraction form
    184,222/407,168 = 407,168/x
  3. Step 3: Cross multiply
    184,222x = 407,168 × 407,168
  4. Step 4: Simplify right side
    184,222x = 165,785,780,224
  5. Step 5: Solve for x
    x = 165,785,780,224/184,222
  6. Step 6: Final answer
    x = 899,923.90

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.