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Finding the Third Proportional to 184,016 and 375,772

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Solution

The third proportional to 184,016 and 375,772 is: 767,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,016 : 375,772 = 375,772 : x
  2. Step 2: Convert to fraction form
    184,016/375,772 = 375,772/x
  3. Step 3: Cross multiply
    184,016x = 375,772 × 375,772
  4. Step 4: Simplify right side
    184,016x = 141,204,595,984
  5. Step 5: Solve for x
    x = 141,204,595,984/184,016
  6. Step 6: Final answer
    x = 767,349.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.