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Finding the Third Proportional to 159,077 and 343,061

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Solution

The third proportional to 159,077 and 343,061 is: 739,835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,077 : 343,061 = 343,061 : x
  2. Step 2: Convert to fraction form
    159,077/343,061 = 343,061/x
  3. Step 3: Cross multiply
    159,077x = 343,061 × 343,061
  4. Step 4: Simplify right side
    159,077x = 117,690,849,721
  5. Step 5: Solve for x
    x = 117,690,849,721/159,077
  6. Step 6: Final answer
    x = 739,835.74

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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.