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Finding the Third Proportional to 159,116 and 343,138

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Solution

The third proportional to 159,116 and 343,138 is: 739,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,116 : 343,138 = 343,138 : x
  2. Step 2: Convert to fraction form
    159,116/343,138 = 343,138/x
  3. Step 3: Cross multiply
    159,116x = 343,138 × 343,138
  4. Step 4: Simplify right side
    159,116x = 117,743,687,044
  5. Step 5: Solve for x
    x = 117,743,687,044/159,116
  6. Step 6: Final answer
    x = 739,986.47

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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.