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Finding the Third Proportional to 161,727.75 and 231,582.25

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Solution

The third proportional to 161,727.75 and 231,582.25 is: 331,608.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,727.75 : 231,582.25 = 231,582.25 : x
  2. Step 2: Convert to fraction form
    161,727.75/231,582.25 = 231,582.25/x
  3. Step 3: Cross multiply
    161,727.75x = 231,582.25 × 231,582.25
  4. Step 4: Simplify right side
    161,727.75x = 53,630,338,515.06
  5. Step 5: Solve for x
    x = 53,630,338,515.06/161,727.75
  6. Step 6: Final answer
    x = 331,608.76

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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.