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Finding the Third Proportional to 170,950.50 and 205,395.75

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Solution

The third proportional to 170,950.50 and 205,395.75 is: 246,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,950.50 : 205,395.75 = 205,395.75 : x
  2. Step 2: Convert to fraction form
    170,950.50/205,395.75 = 205,395.75/x
  3. Step 3: Cross multiply
    170,950.50x = 205,395.75 × 205,395.75
  4. Step 4: Simplify right side
    170,950.50x = 42,187,414,118.06
  5. Step 5: Solve for x
    x = 42,187,414,118.06/170,950.50
  6. Step 6: Final answer
    x = 246,781.46

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.