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Finding the Third Proportional to 118,204 and 177,427

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Solution

The third proportional to 118,204 and 177,427 is: 266,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,204 : 177,427 = 177,427 : x
  2. Step 2: Convert to fraction form
    118,204/177,427 = 177,427/x
  3. Step 3: Cross multiply
    118,204x = 177,427 × 177,427
  4. Step 4: Simplify right side
    118,204x = 31,480,340,329
  5. Step 5: Solve for x
    x = 31,480,340,329/118,204
  6. Step 6: Final answer
    x = 266,322.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.