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Finding the Third Proportional to 190,383.75 and 414,929.25

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Solution

The third proportional to 190,383.75 and 414,929.25 is: 904,311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,383.75 : 414,929.25 = 414,929.25 : x
  2. Step 2: Convert to fraction form
    190,383.75/414,929.25 = 414,929.25/x
  3. Step 3: Cross multiply
    190,383.75x = 414,929.25 × 414,929.25
  4. Step 4: Simplify right side
    190,383.75x = 172,166,282,505.56
  5. Step 5: Solve for x
    x = 172,166,282,505.56/190,383.75
  6. Step 6: Final answer
    x = 904,311.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.