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Finding the Third Proportional to 159,627.38 and 238,057.31

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Solution

The third proportional to 159,627.38 and 238,057.31 is: 355,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,627.38 : 238,057.31 = 238,057.31 : x
  2. Step 2: Convert to fraction form
    159,627.38/238,057.31 = 238,057.31/x
  3. Step 3: Cross multiply
    159,627.38x = 238,057.31 × 238,057.31
  4. Step 4: Simplify right side
    159,627.38x = 56,671,284,034.72
  5. Step 5: Solve for x
    x = 56,671,284,034.72/159,627.38
  6. Step 6: Final answer
    x = 355,022.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.