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Finding the Third Proportional to 135,610 and 283,614

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Solution

The third proportional to 135,610 and 283,614 is: 593,148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,610 : 283,614 = 283,614 : x
  2. Step 2: Convert to fraction form
    135,610/283,614 = 283,614/x
  3. Step 3: Cross multiply
    135,610x = 283,614 × 283,614
  4. Step 4: Simplify right side
    135,610x = 80,436,900,996
  5. Step 5: Solve for x
    x = 80,436,900,996/135,610
  6. Step 6: Final answer
    x = 593,148.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.