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Finding the Third Proportional to 159,057.56 and 343,018.13

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Solution

The third proportional to 159,057.56 and 343,018.13 is: 739,741.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,057.56 : 343,018.13 = 343,018.13 : x
  2. Step 2: Convert to fraction form
    159,057.56/343,018.13 = 343,018.13/x
  3. Step 3: Cross multiply
    159,057.56x = 343,018.13 × 343,018.13
  4. Step 4: Simplify right side
    159,057.56x = 117,661,434,078.52
  5. Step 5: Solve for x
    x = 117,661,434,078.52/159,057.56
  6. Step 6: Final answer
    x = 739,741.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.