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Finding the Third Proportional to 161,494 and 231,169

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Solution

The third proportional to 161,494 and 231,169 is: 330,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,494 : 231,169 = 231,169 : x
  2. Step 2: Convert to fraction form
    161,494/231,169 = 231,169/x
  3. Step 3: Cross multiply
    161,494x = 231,169 × 231,169
  4. Step 4: Simplify right side
    161,494x = 53,439,106,561
  5. Step 5: Solve for x
    x = 53,439,106,561/161,494
  6. Step 6: Final answer
    x = 330,904.59

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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.