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Finding the Third Proportional to 135,933.75 and 207,480.38

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Solution

The third proportional to 135,933.75 and 207,480.38 is: 316,684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,933.75 : 207,480.38 = 207,480.38 : x
  2. Step 2: Convert to fraction form
    135,933.75/207,480.38 = 207,480.38/x
  3. Step 3: Cross multiply
    135,933.75x = 207,480.38 × 207,480.38
  4. Step 4: Simplify right side
    135,933.75x = 43,048,106,010.14
  5. Step 5: Solve for x
    x = 43,048,106,010.14/135,933.75
  6. Step 6: Final answer
    x = 316,684.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.