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Finding the Third Proportional to 162,879 and 353,610

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Solution

The third proportional to 162,879 and 353,610 is: 767,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,879 : 353,610 = 353,610 : x
  2. Step 2: Convert to fraction form
    162,879/353,610 = 353,610/x
  3. Step 3: Cross multiply
    162,879x = 353,610 × 353,610
  4. Step 4: Simplify right side
    162,879x = 125,040,032,100
  5. Step 5: Solve for x
    x = 125,040,032,100/162,879
  6. Step 6: Final answer
    x = 767,686.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.