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Finding the Third Proportional to 159,027 and 342,966

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Solution

The third proportional to 159,027 and 342,966 is: 739,658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,027 : 342,966 = 342,966 : x
  2. Step 2: Convert to fraction form
    159,027/342,966 = 342,966/x
  3. Step 3: Cross multiply
    159,027x = 342,966 × 342,966
  4. Step 4: Simplify right side
    159,027x = 117,625,677,156
  5. Step 5: Solve for x
    x = 117,625,677,156/159,027
  6. Step 6: Final answer
    x = 739,658.53

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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.