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Finding the Third Proportional to 184,872 and 286,824

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Solution

The third proportional to 184,872 and 286,824 is: 444,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,872 : 286,824 = 286,824 : x
  2. Step 2: Convert to fraction form
    184,872/286,824 = 286,824/x
  3. Step 3: Cross multiply
    184,872x = 286,824 × 286,824
  4. Step 4: Simplify right side
    184,872x = 82,268,006,976
  5. Step 5: Solve for x
    x = 82,268,006,976/184,872
  6. Step 6: Final answer
    x = 444,999.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.