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Finding the Third Proportional to 184,857.75 and 378,472.50

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Solution

The third proportional to 184,857.75 and 378,472.50 is: 774,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,857.75 : 378,472.50 = 378,472.50 : x
  2. Step 2: Convert to fraction form
    184,857.75/378,472.50 = 378,472.50/x
  3. Step 3: Cross multiply
    184,857.75x = 378,472.50 × 378,472.50
  4. Step 4: Simplify right side
    184,857.75x = 143,241,433,256.25
  5. Step 5: Solve for x
    x = 143,241,433,256.25/184,857.75
  6. Step 6: Final answer
    x = 774,873.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.