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Finding the Third Proportional to 190,042 and 300,907

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Solution

The third proportional to 190,042 and 300,907 is: 476,447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,042 : 300,907 = 300,907 : x
  2. Step 2: Convert to fraction form
    190,042/300,907 = 300,907/x
  3. Step 3: Cross multiply
    190,042x = 300,907 × 300,907
  4. Step 4: Simplify right side
    190,042x = 90,545,022,649
  5. Step 5: Solve for x
    x = 90,545,022,649/190,042
  6. Step 6: Final answer
    x = 476,447.43

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.