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Finding the Third Proportional to 162,760 and 248,831

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Solution

The third proportional to 162,760 and 248,831 is: 380,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,760 : 248,831 = 248,831 : x
  2. Step 2: Convert to fraction form
    162,760/248,831 = 248,831/x
  3. Step 3: Cross multiply
    162,760x = 248,831 × 248,831
  4. Step 4: Simplify right side
    162,760x = 61,916,866,561
  5. Step 5: Solve for x
    x = 61,916,866,561/162,760
  6. Step 6: Final answer
    x = 380,418.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.