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Finding the Third Proportional to 162,782 and 350,104

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Solution

The third proportional to 162,782 and 350,104 is: 752,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,782 : 350,104 = 350,104 : x
  2. Step 2: Convert to fraction form
    162,782/350,104 = 350,104/x
  3. Step 3: Cross multiply
    162,782x = 350,104 × 350,104
  4. Step 4: Simplify right side
    162,782x = 122,572,810,816
  5. Step 5: Solve for x
    x = 122,572,810,816/162,782
  6. Step 6: Final answer
    x = 752,987.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.