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Finding the Third Proportional to 188,194 and 403,676

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Solution

The third proportional to 188,194 and 403,676 is: 865,884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,194 : 403,676 = 403,676 : x
  2. Step 2: Convert to fraction form
    188,194/403,676 = 403,676/x
  3. Step 3: Cross multiply
    188,194x = 403,676 × 403,676
  4. Step 4: Simplify right side
    188,194x = 162,954,312,976
  5. Step 5: Solve for x
    x = 162,954,312,976/188,194
  6. Step 6: Final answer
    x = 865,884.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.