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Finding the Third Proportional to 184,060.48 and 384,796.20

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Solution

The third proportional to 184,060.48 and 384,796.20 is: 804,453.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,060.48 : 384,796.20 = 384,796.20 : x
  2. Step 2: Convert to fraction form
    184,060.48/384,796.20 = 384,796.20/x
  3. Step 3: Cross multiply
    184,060.48x = 384,796.20 × 384,796.20
  4. Step 4: Simplify right side
    184,060.48x = 148,068,111,926.98
  5. Step 5: Solve for x
    x = 148,068,111,926.98/184,060.48
  6. Step 6: Final answer
    x = 804,453.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.