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Finding the Third Proportional to 161,715 and 231,569

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Solution

The third proportional to 161,715 and 231,569 is: 331,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,715 : 231,569 = 231,569 : x
  2. Step 2: Convert to fraction form
    161,715/231,569 = 231,569/x
  3. Step 3: Cross multiply
    161,715x = 231,569 × 231,569
  4. Step 4: Simplify right side
    161,715x = 53,624,201,761
  5. Step 5: Solve for x
    x = 53,624,201,761/161,715
  6. Step 6: Final answer
    x = 331,596.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.