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Finding the Third Proportional to 184,824 and 399,132

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Solution

The third proportional to 184,824 and 399,132 is: 861,935.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,824 : 399,132 = 399,132 : x
  2. Step 2: Convert to fraction form
    184,824/399,132 = 399,132/x
  3. Step 3: Cross multiply
    184,824x = 399,132 × 399,132
  4. Step 4: Simplify right side
    184,824x = 159,306,353,424
  5. Step 5: Solve for x
    x = 159,306,353,424/184,824
  6. Step 6: Final answer
    x = 861,935.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.