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Finding the Third Proportional to 178,744 and 265,686

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Solution

The third proportional to 178,744 and 265,686 is: 394,917.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,744 : 265,686 = 265,686 : x
  2. Step 2: Convert to fraction form
    178,744/265,686 = 265,686/x
  3. Step 3: Cross multiply
    178,744x = 265,686 × 265,686
  4. Step 4: Simplify right side
    178,744x = 70,589,050,596
  5. Step 5: Solve for x
    x = 70,589,050,596/178,744
  6. Step 6: Final answer
    x = 394,917.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.