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Finding the Third Proportional to 149,322 and 231,231.75

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Solution

The third proportional to 149,322 and 231,231.75 is: 358,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,322 : 231,231.75 = 231,231.75 : x
  2. Step 2: Convert to fraction form
    149,322/231,231.75 = 231,231.75/x
  3. Step 3: Cross multiply
    149,322x = 231,231.75 × 231,231.75
  4. Step 4: Simplify right side
    149,322x = 53,468,122,208.06
  5. Step 5: Solve for x
    x = 53,468,122,208.06/149,322
  6. Step 6: Final answer
    x = 358,072.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.