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Finding the Third Proportional to 135,842 and 298,576

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Solution

The third proportional to 135,842 and 298,576 is: 656,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,842 : 298,576 = 298,576 : x
  2. Step 2: Convert to fraction form
    135,842/298,576 = 298,576/x
  3. Step 3: Cross multiply
    135,842x = 298,576 × 298,576
  4. Step 4: Simplify right side
    135,842x = 89,147,627,776
  5. Step 5: Solve for x
    x = 89,147,627,776/135,842
  6. Step 6: Final answer
    x = 656,259.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.