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Finding the Third Proportional to 140,110 and 300,956

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Solution

The third proportional to 140,110 and 300,956 is: 646,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,110 : 300,956 = 300,956 : x
  2. Step 2: Convert to fraction form
    140,110/300,956 = 300,956/x
  3. Step 3: Cross multiply
    140,110x = 300,956 × 300,956
  4. Step 4: Simplify right side
    140,110x = 90,574,513,936
  5. Step 5: Solve for x
    x = 90,574,513,936/140,110
  6. Step 6: Final answer
    x = 646,452.89

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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.