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Finding the Third Proportional to 140,451.75 and 205,418.25

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Solution

The third proportional to 140,451.75 and 205,418.25 is: 300,435.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,451.75 : 205,418.25 = 205,418.25 : x
  2. Step 2: Convert to fraction form
    140,451.75/205,418.25 = 205,418.25/x
  3. Step 3: Cross multiply
    140,451.75x = 205,418.25 × 205,418.25
  4. Step 4: Simplify right side
    140,451.75x = 42,196,657,433.06
  5. Step 5: Solve for x
    x = 42,196,657,433.06/140,451.75
  6. Step 6: Final answer
    x = 300,435.26

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.