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Finding the Third Proportional to 184,485.09 and 277,297.17

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Solution

The third proportional to 184,485.09 and 277,297.17 is: 416,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,485.09 : 277,297.17 = 277,297.17 : x
  2. Step 2: Convert to fraction form
    184,485.09/277,297.17 = 277,297.17/x
  3. Step 3: Cross multiply
    184,485.09x = 277,297.17 × 277,297.17
  4. Step 4: Simplify right side
    184,485.09x = 76,893,721,529.87
  5. Step 5: Solve for x
    x = 76,893,721,529.87/184,485.09
  6. Step 6: Final answer
    x = 416,801.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.