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Finding the Third Proportional to 178,449.75 and 244,711.13

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Solution

The third proportional to 178,449.75 and 244,711.13 is: 335,576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,449.75 : 244,711.13 = 244,711.13 : x
  2. Step 2: Convert to fraction form
    178,449.75/244,711.13 = 244,711.13/x
  3. Step 3: Cross multiply
    178,449.75x = 244,711.13 × 244,711.13
  4. Step 4: Simplify right side
    178,449.75x = 59,883,534,698.77
  5. Step 5: Solve for x
    x = 59,883,534,698.77/178,449.75
  6. Step 6: Final answer
    x = 335,576.46

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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.