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Finding the Third Proportional to 188,640 and 410,016

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Solution

The third proportional to 188,640 and 410,016 is: 891,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,640 : 410,016 = 410,016 : x
  2. Step 2: Convert to fraction form
    188,640/410,016 = 410,016/x
  3. Step 3: Cross multiply
    188,640x = 410,016 × 410,016
  4. Step 4: Simplify right side
    188,640x = 168,113,120,256
  5. Step 5: Solve for x
    x = 168,113,120,256/188,640
  6. Step 6: Final answer
    x = 891,184.90

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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.