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Finding the Third Proportional to 159,353 and 366,982

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Solution

The third proportional to 159,353 and 366,982 is: 845,141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,353 : 366,982 = 366,982 : x
  2. Step 2: Convert to fraction form
    159,353/366,982 = 366,982/x
  3. Step 3: Cross multiply
    159,353x = 366,982 × 366,982
  4. Step 4: Simplify right side
    159,353x = 134,675,788,324
  5. Step 5: Solve for x
    x = 134,675,788,324/159,353
  6. Step 6: Final answer
    x = 845,141.22

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.