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Finding the Third Proportional to 178,736.63 and 372,174.75

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Solution

The third proportional to 178,736.63 and 372,174.75 is: 774,961.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,736.63 : 372,174.75 = 372,174.75 : x
  2. Step 2: Convert to fraction form
    178,736.63/372,174.75 = 372,174.75/x
  3. Step 3: Cross multiply
    178,736.63x = 372,174.75 × 372,174.75
  4. Step 4: Simplify right side
    178,736.63x = 138,514,044,537.56
  5. Step 5: Solve for x
    x = 138,514,044,537.56/178,736.63
  6. Step 6: Final answer
    x = 774,961.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.