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Finding the Third Proportional to 77,795 and 170,718

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Solution

The third proportional to 77,795 and 170,718 is: 374,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,795 : 170,718 = 170,718 : x
  2. Step 2: Convert to fraction form
    77,795/170,718 = 170,718/x
  3. Step 3: Cross multiply
    77,795x = 170,718 × 170,718
  4. Step 4: Simplify right side
    77,795x = 29,144,635,524
  5. Step 5: Solve for x
    x = 29,144,635,524/77,795
  6. Step 6: Final answer
    x = 374,633.79

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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.