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Finding the Third Proportional to 152,234 and 231,942

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Solution

The third proportional to 152,234 and 231,942 is: 353,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,234 : 231,942 = 231,942 : x
  2. Step 2: Convert to fraction form
    152,234/231,942 = 231,942/x
  3. Step 3: Cross multiply
    152,234x = 231,942 × 231,942
  4. Step 4: Simplify right side
    152,234x = 53,797,091,364
  5. Step 5: Solve for x
    x = 53,797,091,364/152,234
  6. Step 6: Final answer
    x = 353,384.21

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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.