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Finding the Third Proportional to 150,342 and 231,181.50

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Solution

The third proportional to 150,342 and 231,181.50 is: 355,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,342 : 231,181.50 = 231,181.50 : x
  2. Step 2: Convert to fraction form
    150,342/231,181.50 = 231,181.50/x
  3. Step 3: Cross multiply
    150,342x = 231,181.50 × 231,181.50
  4. Step 4: Simplify right side
    150,342x = 53,444,885,942.25
  5. Step 5: Solve for x
    x = 53,444,885,942.25/150,342
  6. Step 6: Final answer
    x = 355,488.73

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