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Finding the Third Proportional to 135,344 and 182,576

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Solution

The third proportional to 135,344 and 182,576 is: 246,290.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,344 : 182,576 = 182,576 : x
  2. Step 2: Convert to fraction form
    135,344/182,576 = 182,576/x
  3. Step 3: Cross multiply
    135,344x = 182,576 × 182,576
  4. Step 4: Simplify right side
    135,344x = 33,333,995,776
  5. Step 5: Solve for x
    x = 33,333,995,776/135,344
  6. Step 6: Final answer
    x = 246,290.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.