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Finding the Third Proportional to 170,093.25 and 260,070.75

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Solution

The third proportional to 170,093.25 and 260,070.75 is: 397,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,093.25 : 260,070.75 = 260,070.75 : x
  2. Step 2: Convert to fraction form
    170,093.25/260,070.75 = 260,070.75/x
  3. Step 3: Cross multiply
    170,093.25x = 260,070.75 × 260,070.75
  4. Step 4: Simplify right side
    170,093.25x = 67,636,795,005.56
  5. Step 5: Solve for x
    x = 67,636,795,005.56/170,093.25
  6. Step 6: Final answer
    x = 397,645.38

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.