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Finding the Third Proportional to 178,534.50 and 244,811.25

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Solution

The third proportional to 178,534.50 and 244,811.25 is: 335,691.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,534.50 : 244,811.25 = 244,811.25 : x
  2. Step 2: Convert to fraction form
    178,534.50/244,811.25 = 244,811.25/x
  3. Step 3: Cross multiply
    178,534.50x = 244,811.25 × 244,811.25
  4. Step 4: Simplify right side
    178,534.50x = 59,932,548,126.56
  5. Step 5: Solve for x
    x = 59,932,548,126.56/178,534.50
  6. Step 6: Final answer
    x = 335,691.69

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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.