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Finding the Third Proportional to 184,610 and 400,324

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Solution

The third proportional to 184,610 and 400,324 is: 868,096.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,610 : 400,324 = 400,324 : x
  2. Step 2: Convert to fraction form
    184,610/400,324 = 400,324/x
  3. Step 3: Cross multiply
    184,610x = 400,324 × 400,324
  4. Step 4: Simplify right side
    184,610x = 160,259,304,976
  5. Step 5: Solve for x
    x = 160,259,304,976/184,610
  6. Step 6: Final answer
    x = 868,096.55

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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.