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Finding the Third Proportional to 184,220 and 407,164

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Solution

The third proportional to 184,220 and 407,164 is: 899,915.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,220 : 407,164 = 407,164 : x
  2. Step 2: Convert to fraction form
    184,220/407,164 = 407,164/x
  3. Step 3: Cross multiply
    184,220x = 407,164 × 407,164
  4. Step 4: Simplify right side
    184,220x = 165,782,522,896
  5. Step 5: Solve for x
    x = 165,782,522,896/184,220
  6. Step 6: Final answer
    x = 899,915.99

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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.