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Finding the Third Proportional to 178,074 and 362,744

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Solution

The third proportional to 178,074 and 362,744 is: 738,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,074 : 362,744 = 362,744 : x
  2. Step 2: Convert to fraction form
    178,074/362,744 = 362,744/x
  3. Step 3: Cross multiply
    178,074x = 362,744 × 362,744
  4. Step 4: Simplify right side
    178,074x = 131,583,209,536
  5. Step 5: Solve for x
    x = 131,583,209,536/178,074
  6. Step 6: Final answer
    x = 738,924.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.