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Finding the Third Proportional to 134,934.75 and 198,028.13

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Solution

The third proportional to 134,934.75 and 198,028.13 is: 290,622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,934.75 : 198,028.13 = 198,028.13 : x
  2. Step 2: Convert to fraction form
    134,934.75/198,028.13 = 198,028.13/x
  3. Step 3: Cross multiply
    134,934.75x = 198,028.13 × 198,028.13
  4. Step 4: Simplify right side
    134,934.75x = 39,215,138,291.02
  5. Step 5: Solve for x
    x = 39,215,138,291.02/134,934.75
  6. Step 6: Final answer
    x = 290,622.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.