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Finding the Third Proportional to 162,660 and 228,762

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Solution

The third proportional to 162,660 and 228,762 is: 321,726.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,660 : 228,762 = 228,762 : x
  2. Step 2: Convert to fraction form
    162,660/228,762 = 228,762/x
  3. Step 3: Cross multiply
    162,660x = 228,762 × 228,762
  4. Step 4: Simplify right side
    162,660x = 52,332,052,644
  5. Step 5: Solve for x
    x = 52,332,052,644/162,660
  6. Step 6: Final answer
    x = 321,726.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.