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Finding the Third Proportional to 184,216 and 281,670

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Solution

The third proportional to 184,216 and 281,670 is: 430,679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,216 : 281,670 = 281,670 : x
  2. Step 2: Convert to fraction form
    184,216/281,670 = 281,670/x
  3. Step 3: Cross multiply
    184,216x = 281,670 × 281,670
  4. Step 4: Simplify right side
    184,216x = 79,337,988,900
  5. Step 5: Solve for x
    x = 79,337,988,900/184,216
  6. Step 6: Final answer
    x = 430,679.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.