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Finding the Third Proportional to 134,670 and 204,801

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Solution

The third proportional to 134,670 and 204,801 is: 311,453.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,670 : 204,801 = 204,801 : x
  2. Step 2: Convert to fraction form
    134,670/204,801 = 204,801/x
  3. Step 3: Cross multiply
    134,670x = 204,801 × 204,801
  4. Step 4: Simplify right side
    134,670x = 41,943,449,601
  5. Step 5: Solve for x
    x = 41,943,449,601/134,670
  6. Step 6: Final answer
    x = 311,453.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.