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Finding the Third Proportional to 134,039.25 and 200,400.75

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Solution

The third proportional to 134,039.25 and 200,400.75 is: 299,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,039.25 : 200,400.75 = 200,400.75 : x
  2. Step 2: Convert to fraction form
    134,039.25/200,400.75 = 200,400.75/x
  3. Step 3: Cross multiply
    134,039.25x = 200,400.75 × 200,400.75
  4. Step 4: Simplify right side
    134,039.25x = 40,160,460,600.56
  5. Step 5: Solve for x
    x = 40,160,460,600.56/134,039.25
  6. Step 6: Final answer
    x = 299,617.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.