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Finding the Third Proportional to 119,604 and 275,676

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Solution

The third proportional to 119,604 and 275,676 is: 635,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,604 : 275,676 = 275,676 : x
  2. Step 2: Convert to fraction form
    119,604/275,676 = 275,676/x
  3. Step 3: Cross multiply
    119,604x = 275,676 × 275,676
  4. Step 4: Simplify right side
    119,604x = 75,997,256,976
  5. Step 5: Solve for x
    x = 75,997,256,976/119,604
  6. Step 6: Final answer
    x = 635,407.32

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.