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Finding the Third Proportional to 134,716.50 and 207,690.75

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Solution

The third proportional to 134,716.50 and 207,690.75 is: 320,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,716.50 : 207,690.75 = 207,690.75 : x
  2. Step 2: Convert to fraction form
    134,716.50/207,690.75 = 207,690.75/x
  3. Step 3: Cross multiply
    134,716.50x = 207,690.75 × 207,690.75
  4. Step 4: Simplify right side
    134,716.50x = 43,135,447,635.56
  5. Step 5: Solve for x
    x = 43,135,447,635.56/134,716.50
  6. Step 6: Final answer
    x = 320,194.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.