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Finding the Third Proportional to 104,175 and 215,736

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Solution

The third proportional to 104,175 and 215,736 is: 446,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,175 : 215,736 = 215,736 : x
  2. Step 2: Convert to fraction form
    104,175/215,736 = 215,736/x
  3. Step 3: Cross multiply
    104,175x = 215,736 × 215,736
  4. Step 4: Simplify right side
    104,175x = 46,542,021,696
  5. Step 5: Solve for x
    x = 46,542,021,696/104,175
  6. Step 6: Final answer
    x = 446,767.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.