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Finding the Third Proportional to 188,426 and 410,676

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Solution

The third proportional to 188,426 and 410,676 is: 895,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,426 : 410,676 = 410,676 : x
  2. Step 2: Convert to fraction form
    188,426/410,676 = 410,676/x
  3. Step 3: Cross multiply
    188,426x = 410,676 × 410,676
  4. Step 4: Simplify right side
    188,426x = 168,654,776,976
  5. Step 5: Solve for x
    x = 168,654,776,976/188,426
  6. Step 6: Final answer
    x = 895,071.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.