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Finding the Third Proportional to 149,860.13 and 313,571.25

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Solution

The third proportional to 149,860.13 and 313,571.25 is: 656,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,860.13 : 313,571.25 = 313,571.25 : x
  2. Step 2: Convert to fraction form
    149,860.13/313,571.25 = 313,571.25/x
  3. Step 3: Cross multiply
    149,860.13x = 313,571.25 × 313,571.25
  4. Step 4: Simplify right side
    149,860.13x = 98,326,928,826.56
  5. Step 5: Solve for x
    x = 98,326,928,826.56/149,860.13
  6. Step 6: Final answer
    x = 656,124.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.