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Finding the Third Proportional to 134,668 and 204,798

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Solution

The third proportional to 134,668 and 204,798 is: 311,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,668 : 204,798 = 204,798 : x
  2. Step 2: Convert to fraction form
    134,668/204,798 = 204,798/x
  3. Step 3: Cross multiply
    134,668x = 204,798 × 204,798
  4. Step 4: Simplify right side
    134,668x = 41,942,220,804
  5. Step 5: Solve for x
    x = 41,942,220,804/134,668
  6. Step 6: Final answer
    x = 311,449.05

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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.