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Finding the Third Proportional to 135,764 and 298,300

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Solution

The third proportional to 135,764 and 298,300 is: 655,423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,764 : 298,300 = 298,300 : x
  2. Step 2: Convert to fraction form
    135,764/298,300 = 298,300/x
  3. Step 3: Cross multiply
    135,764x = 298,300 × 298,300
  4. Step 4: Simplify right side
    135,764x = 88,982,890,000
  5. Step 5: Solve for x
    x = 88,982,890,000/135,764
  6. Step 6: Final answer
    x = 655,423.31

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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.