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Finding the Third Proportional to 166,356.38 and 360,738.38

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Solution

The third proportional to 166,356.38 and 360,738.38 is: 782,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,356.38 : 360,738.38 = 360,738.38 : x
  2. Step 2: Convert to fraction form
    166,356.38/360,738.38 = 360,738.38/x
  3. Step 3: Cross multiply
    166,356.38x = 360,738.38 × 360,738.38
  4. Step 4: Simplify right side
    166,356.38x = 130,132,175,197.64
  5. Step 5: Solve for x
    x = 130,132,175,197.64/166,356.38
  6. Step 6: Final answer
    x = 782,249.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.