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Finding the Third Proportional to 152,231 and 231,938

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Solution

The third proportional to 152,231 and 231,938 is: 353,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,231 : 231,938 = 231,938 : x
  2. Step 2: Convert to fraction form
    152,231/231,938 = 231,938/x
  3. Step 3: Cross multiply
    152,231x = 231,938 × 231,938
  4. Step 4: Simplify right side
    152,231x = 53,795,235,844
  5. Step 5: Solve for x
    x = 53,795,235,844/152,231
  6. Step 6: Final answer
    x = 353,378.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.