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Finding the Third Proportional to 159,077 and 343,062

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Solution

The third proportional to 159,077 and 343,062 is: 739,840.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,077 : 343,062 = 343,062 : x
  2. Step 2: Convert to fraction form
    159,077/343,062 = 343,062/x
  3. Step 3: Cross multiply
    159,077x = 343,062 × 343,062
  4. Step 4: Simplify right side
    159,077x = 117,691,535,844
  5. Step 5: Solve for x
    x = 117,691,535,844/159,077
  6. Step 6: Final answer
    x = 739,840.05

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Why These Related Problems?

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