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Finding the Third Proportional to 201,018 and 273,000

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Solution

The third proportional to 201,018 and 273,000 is: 370,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,018 : 273,000 = 273,000 : x
  2. Step 2: Convert to fraction form
    201,018/273,000 = 273,000/x
  3. Step 3: Cross multiply
    201,018x = 273,000 × 273,000
  4. Step 4: Simplify right side
    201,018x = 74,529,000,000
  5. Step 5: Solve for x
    x = 74,529,000,000/201,018
  6. Step 6: Final answer
    x = 370,757.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.