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Finding the Third Proportional to 152,606 and 231,501

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Solution

The third proportional to 152,606 and 231,501 is: 351,183.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,606 : 231,501 = 231,501 : x
  2. Step 2: Convert to fraction form
    152,606/231,501 = 231,501/x
  3. Step 3: Cross multiply
    152,606x = 231,501 × 231,501
  4. Step 4: Simplify right side
    152,606x = 53,592,713,001
  5. Step 5: Solve for x
    x = 53,592,713,001/152,606
  6. Step 6: Final answer
    x = 351,183.52

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Why These Related Problems?

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