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Finding the Third Proportional to 184,104 and 386,640

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Solution

The third proportional to 184,104 and 386,640 is: 811,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,104 : 386,640 = 386,640 : x
  2. Step 2: Convert to fraction form
    184,104/386,640 = 386,640/x
  3. Step 3: Cross multiply
    184,104x = 386,640 × 386,640
  4. Step 4: Simplify right side
    184,104x = 149,490,489,600
  5. Step 5: Solve for x
    x = 149,490,489,600/184,104
  6. Step 6: Final answer
    x = 811,989.36

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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.