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Finding the Third Proportional to 162,651.75 and 352,451.25

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Solution

The third proportional to 162,651.75 and 352,451.25 is: 763,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,651.75 : 352,451.25 = 352,451.25 : x
  2. Step 2: Convert to fraction form
    162,651.75/352,451.25 = 352,451.25/x
  3. Step 3: Cross multiply
    162,651.75x = 352,451.25 × 352,451.25
  4. Step 4: Simplify right side
    162,651.75x = 124,221,883,626.56
  5. Step 5: Solve for x
    x = 124,221,883,626.56/162,651.75
  6. Step 6: Final answer
    x = 763,729.16

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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.