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Finding the Third Proportional to 79,058.25 and 170,205.75

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Solution

The third proportional to 79,058.25 and 170,205.75 is: 366,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,058.25 : 170,205.75 = 170,205.75 : x
  2. Step 2: Convert to fraction form
    79,058.25/170,205.75 = 170,205.75/x
  3. Step 3: Cross multiply
    79,058.25x = 170,205.75 × 170,205.75
  4. Step 4: Simplify right side
    79,058.25x = 28,969,997,333.06
  5. Step 5: Solve for x
    x = 28,969,997,333.06/79,058.25
  6. Step 6: Final answer
    x = 366,438.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.