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Finding the Third Proportional to 184,267 and 387,101

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Solution

The third proportional to 184,267 and 387,101 is: 813,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,267 : 387,101 = 387,101 : x
  2. Step 2: Convert to fraction form
    184,267/387,101 = 387,101/x
  3. Step 3: Cross multiply
    184,267x = 387,101 × 387,101
  4. Step 4: Simplify right side
    184,267x = 149,847,184,201
  5. Step 5: Solve for x
    x = 149,847,184,201/184,267
  6. Step 6: Final answer
    x = 813,206.84

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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.