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Finding the Third Proportional to 231,723 and 350,851.50

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Solution

The third proportional to 231,723 and 350,851.50 is: 531,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,723 : 350,851.50 = 350,851.50 : x
  2. Step 2: Convert to fraction form
    231,723/350,851.50 = 350,851.50/x
  3. Step 3: Cross multiply
    231,723x = 350,851.50 × 350,851.50
  4. Step 4: Simplify right side
    231,723x = 123,096,775,052.25
  5. Step 5: Solve for x
    x = 123,096,775,052.25/231,723
  6. Step 6: Final answer
    x = 531,223.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.