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Finding the Third Proportional to 184,297.78 and 247,662.56

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Solution

The third proportional to 184,297.78 and 247,662.56 is: 332,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,297.78 : 247,662.56 = 247,662.56 : x
  2. Step 2: Convert to fraction form
    184,297.78/247,662.56 = 247,662.56/x
  3. Step 3: Cross multiply
    184,297.78x = 247,662.56 × 247,662.56
  4. Step 4: Simplify right side
    184,297.78x = 61,336,744,864.07
  5. Step 5: Solve for x
    x = 61,336,744,864.07/184,297.78
  6. Step 6: Final answer
    x = 332,813.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.