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Finding the Third Proportional to 134,651 and 204,774

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Solution

The third proportional to 134,651 and 204,774 is: 311,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,651 : 204,774 = 204,774 : x
  2. Step 2: Convert to fraction form
    134,651/204,774 = 204,774/x
  3. Step 3: Cross multiply
    134,651x = 204,774 × 204,774
  4. Step 4: Simplify right side
    134,651x = 41,932,391,076
  5. Step 5: Solve for x
    x = 41,932,391,076/134,651
  6. Step 6: Final answer
    x = 311,415.37

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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.