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Finding the Third Proportional to 161,722.13 and 231,573.94

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Solution

The third proportional to 161,722.13 and 231,573.94 is: 331,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,722.13 : 231,573.94 = 231,573.94 : x
  2. Step 2: Convert to fraction form
    161,722.13/231,573.94 = 231,573.94/x
  3. Step 3: Cross multiply
    161,722.13x = 231,573.94 × 231,573.94
  4. Step 4: Simplify right side
    161,722.13x = 53,626,488,529.25
  5. Step 5: Solve for x
    x = 53,626,488,529.25/161,722.13
  6. Step 6: Final answer
    x = 331,596.49

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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.