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Finding the Third Proportional to 149,325.75 and 231,211.50

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Solution

The third proportional to 149,325.75 and 231,211.50 is: 358,000.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,325.75 : 231,211.50 = 231,211.50 : x
  2. Step 2: Convert to fraction form
    149,325.75/231,211.50 = 231,211.50/x
  3. Step 3: Cross multiply
    149,325.75x = 231,211.50 × 231,211.50
  4. Step 4: Simplify right side
    149,325.75x = 53,458,757,732.25
  5. Step 5: Solve for x
    x = 53,458,757,732.25/149,325.75
  6. Step 6: Final answer
    x = 358,000.93

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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.