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Finding the Third Proportional to 135,679 and 298,423

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Solution

The third proportional to 135,679 and 298,423 is: 656,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,679 : 298,423 = 298,423 : x
  2. Step 2: Convert to fraction form
    135,679/298,423 = 298,423/x
  3. Step 3: Cross multiply
    135,679x = 298,423 × 298,423
  4. Step 4: Simplify right side
    135,679x = 89,056,286,929
  5. Step 5: Solve for x
    x = 89,056,286,929/135,679
  6. Step 6: Final answer
    x = 656,374.88

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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.