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Finding the Third Proportional to 135,216 and 200,592

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Solution

The third proportional to 135,216 and 200,592 is: 297,576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,216 : 200,592 = 200,592 : x
  2. Step 2: Convert to fraction form
    135,216/200,592 = 200,592/x
  3. Step 3: Cross multiply
    135,216x = 200,592 × 200,592
  4. Step 4: Simplify right side
    135,216x = 40,237,150,464
  5. Step 5: Solve for x
    x = 40,237,150,464/135,216
  6. Step 6: Final answer
    x = 297,576.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.