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Finding the Third Proportional to 79,899.75 and 177,536.25

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Solution

The third proportional to 79,899.75 and 177,536.25 is: 394,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,899.75 : 177,536.25 = 177,536.25 : x
  2. Step 2: Convert to fraction form
    79,899.75/177,536.25 = 177,536.25/x
  3. Step 3: Cross multiply
    79,899.75x = 177,536.25 × 177,536.25
  4. Step 4: Simplify right side
    79,899.75x = 31,519,120,064.06
  5. Step 5: Solve for x
    x = 31,519,120,064.06/79,899.75
  6. Step 6: Final answer
    x = 394,483.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.