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Finding the Third Proportional to 140,579 and 303,610

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Solution

The third proportional to 140,579 and 303,610 is: 655,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,579 : 303,610 = 303,610 : x
  2. Step 2: Convert to fraction form
    140,579/303,610 = 303,610/x
  3. Step 3: Cross multiply
    140,579x = 303,610 × 303,610
  4. Step 4: Simplify right side
    140,579x = 92,179,032,100
  5. Step 5: Solve for x
    x = 92,179,032,100/140,579
  6. Step 6: Final answer
    x = 655,709.83

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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.