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Finding the Third Proportional to 201,670 and 266,201

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Solution

The third proportional to 201,670 and 266,201 is: 351,380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,670 : 266,201 = 266,201 : x
  2. Step 2: Convert to fraction form
    201,670/266,201 = 266,201/x
  3. Step 3: Cross multiply
    201,670x = 266,201 × 266,201
  4. Step 4: Simplify right side
    201,670x = 70,862,972,401
  5. Step 5: Solve for x
    x = 70,862,972,401/201,670
  6. Step 6: Final answer
    x = 351,380.83

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.