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Finding the Third Proportional to 77,796 and 170,676

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Solution

The third proportional to 77,796 and 170,676 is: 374,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,796 : 170,676 = 170,676 : x
  2. Step 2: Convert to fraction form
    77,796/170,676 = 170,676/x
  3. Step 3: Cross multiply
    77,796x = 170,676 × 170,676
  4. Step 4: Simplify right side
    77,796x = 29,130,296,976
  5. Step 5: Solve for x
    x = 29,130,296,976/77,796
  6. Step 6: Final answer
    x = 374,444.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.