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Finding the Third Proportional to 179,908 and 374,400

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Solution

The third proportional to 179,908 and 374,400 is: 779,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,908 : 374,400 = 374,400 : x
  2. Step 2: Convert to fraction form
    179,908/374,400 = 374,400/x
  3. Step 3: Cross multiply
    179,908x = 374,400 × 374,400
  4. Step 4: Simplify right side
    179,908x = 140,175,360,000
  5. Step 5: Solve for x
    x = 140,175,360,000/179,908
  6. Step 6: Final answer
    x = 779,150.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.