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Finding the Third Proportional to 184,223 and 399,982

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Solution

The third proportional to 184,223 and 399,982 is: 868,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,223 : 399,982 = 399,982 : x
  2. Step 2: Convert to fraction form
    184,223/399,982 = 399,982/x
  3. Step 3: Cross multiply
    184,223x = 399,982 × 399,982
  4. Step 4: Simplify right side
    184,223x = 159,985,600,324
  5. Step 5: Solve for x
    x = 159,985,600,324/184,223
  6. Step 6: Final answer
    x = 868,434.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.