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Finding the Third Proportional to 159,673.13 and 222,010.69

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Solution

The third proportional to 159,673.13 and 222,010.69 is: 308,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,673.13 : 222,010.69 = 222,010.69 : x
  2. Step 2: Convert to fraction form
    159,673.13/222,010.69 = 222,010.69/x
  3. Step 3: Cross multiply
    159,673.13x = 222,010.69 × 222,010.69
  4. Step 4: Simplify right side
    159,673.13x = 49,288,745,364.22
  5. Step 5: Solve for x
    x = 49,288,745,364.22/159,673.13
  6. Step 6: Final answer
    x = 308,685.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.