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Finding the Third Proportional to 144,469.13 and 191,694.38

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Solution

The third proportional to 144,469.13 and 191,694.38 is: 254,357.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,469.13 : 191,694.38 = 191,694.38 : x
  2. Step 2: Convert to fraction form
    144,469.13/191,694.38 = 191,694.38/x
  3. Step 3: Cross multiply
    144,469.13x = 191,694.38 × 191,694.38
  4. Step 4: Simplify right side
    144,469.13x = 36,746,733,406.64
  5. Step 5: Solve for x
    x = 36,746,733,406.64/144,469.13
  6. Step 6: Final answer
    x = 254,357.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.