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Finding the Third Proportional to 159,777 and 248,427

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Solution

The third proportional to 159,777 and 248,427 is: 386,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,777 : 248,427 = 248,427 : x
  2. Step 2: Convert to fraction form
    159,777/248,427 = 248,427/x
  3. Step 3: Cross multiply
    159,777x = 248,427 × 248,427
  4. Step 4: Simplify right side
    159,777x = 61,715,974,329
  5. Step 5: Solve for x
    x = 61,715,974,329/159,777
  6. Step 6: Final answer
    x = 386,263.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.