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Finding the Third Proportional to 184,562 and 285,008

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Solution

The third proportional to 184,562 and 285,008 is: 440,120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,562 : 285,008 = 285,008 : x
  2. Step 2: Convert to fraction form
    184,562/285,008 = 285,008/x
  3. Step 3: Cross multiply
    184,562x = 285,008 × 285,008
  4. Step 4: Simplify right side
    184,562x = 81,229,560,064
  5. Step 5: Solve for x
    x = 81,229,560,064/184,562
  6. Step 6: Final answer
    x = 440,120.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.