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Finding the Third Proportional to 159,672.75 and 222,010.13

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Solution

The third proportional to 159,672.75 and 222,010.13 is: 308,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,672.75 : 222,010.13 = 222,010.13 : x
  2. Step 2: Convert to fraction form
    159,672.75/222,010.13 = 222,010.13/x
  3. Step 3: Cross multiply
    159,672.75x = 222,010.13 × 222,010.13
  4. Step 4: Simplify right side
    159,672.75x = 49,288,495,602.52
  5. Step 5: Solve for x
    x = 49,288,495,602.52/159,672.75
  6. Step 6: Final answer
    x = 308,684.45

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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.