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Finding the Third Proportional to 162,012 and 332,040

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Solution

The third proportional to 162,012 and 332,040 is: 680,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,012 : 332,040 = 332,040 : x
  2. Step 2: Convert to fraction form
    162,012/332,040 = 332,040/x
  3. Step 3: Cross multiply
    162,012x = 332,040 × 332,040
  4. Step 4: Simplify right side
    162,012x = 110,250,561,600
  5. Step 5: Solve for x
    x = 110,250,561,600/162,012
  6. Step 6: Final answer
    x = 680,508.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.