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Finding the Third Proportional to 184,106 and 386,644

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Solution

The third proportional to 184,106 and 386,644 is: 811,997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,106 : 386,644 = 386,644 : x
  2. Step 2: Convert to fraction form
    184,106/386,644 = 386,644/x
  3. Step 3: Cross multiply
    184,106x = 386,644 × 386,644
  4. Step 4: Simplify right side
    184,106x = 149,493,582,736
  5. Step 5: Solve for x
    x = 149,493,582,736/184,106
  6. Step 6: Final answer
    x = 811,997.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.