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Finding the Third Proportional to 134,588.25 and 196,040.25

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Solution

The third proportional to 134,588.25 and 196,040.25 is: 285,550.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,588.25 : 196,040.25 = 196,040.25 : x
  2. Step 2: Convert to fraction form
    134,588.25/196,040.25 = 196,040.25/x
  3. Step 3: Cross multiply
    134,588.25x = 196,040.25 × 196,040.25
  4. Step 4: Simplify right side
    134,588.25x = 38,431,779,620.06
  5. Step 5: Solve for x
    x = 38,431,779,620.06/134,588.25
  6. Step 6: Final answer
    x = 285,550.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.