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Finding the Third Proportional to 87,017 and 184,330

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Solution

The third proportional to 87,017 and 184,330 is: 390,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,017 : 184,330 = 184,330 : x
  2. Step 2: Convert to fraction form
    87,017/184,330 = 184,330/x
  3. Step 3: Cross multiply
    87,017x = 184,330 × 184,330
  4. Step 4: Simplify right side
    87,017x = 33,977,548,900
  5. Step 5: Solve for x
    x = 33,977,548,900/87,017
  6. Step 6: Final answer
    x = 390,470.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.