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Finding the Third Proportional to 140,956 and 304,568

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Solution

The third proportional to 140,956 and 304,568 is: 658,089.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,956 : 304,568 = 304,568 : x
  2. Step 2: Convert to fraction form
    140,956/304,568 = 304,568/x
  3. Step 3: Cross multiply
    140,956x = 304,568 × 304,568
  4. Step 4: Simplify right side
    140,956x = 92,761,666,624
  5. Step 5: Solve for x
    x = 92,761,666,624/140,956
  6. Step 6: Final answer
    x = 658,089.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.