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Finding the Third Proportional to 178,359.75 and 244,575

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Solution

The third proportional to 178,359.75 and 244,575 is: 335,372.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,359.75 : 244,575 = 244,575 : x
  2. Step 2: Convert to fraction form
    178,359.75/244,575 = 244,575/x
  3. Step 3: Cross multiply
    178,359.75x = 244,575 × 244,575
  4. Step 4: Simplify right side
    178,359.75x = 59,816,930,625
  5. Step 5: Solve for x
    x = 59,816,930,625/178,359.75
  6. Step 6: Final answer
    x = 335,372.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.