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Finding the Third Proportional to 134,190.75 and 289,399.13

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Solution

The third proportional to 134,190.75 and 289,399.13 is: 624,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,190.75 : 289,399.13 = 289,399.13 : x
  2. Step 2: Convert to fraction form
    134,190.75/289,399.13 = 289,399.13/x
  3. Step 3: Cross multiply
    134,190.75x = 289,399.13 × 289,399.13
  4. Step 4: Simplify right side
    134,190.75x = 83,751,853,550.77
  5. Step 5: Solve for x
    x = 83,751,853,550.77/134,190.75
  6. Step 6: Final answer
    x = 624,125.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.