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Finding the Third Proportional to 140,104 and 300,944

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Solution

The third proportional to 140,104 and 300,944 is: 646,429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,104 : 300,944 = 300,944 : x
  2. Step 2: Convert to fraction form
    140,104/300,944 = 300,944/x
  3. Step 3: Cross multiply
    140,104x = 300,944 × 300,944
  4. Step 4: Simplify right side
    140,104x = 90,567,291,136
  5. Step 5: Solve for x
    x = 90,567,291,136/140,104
  6. Step 6: Final answer
    x = 646,429.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.