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Finding the Third Proportional to 201,646 and 274,020

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Solution

The third proportional to 201,646 and 274,020 is: 372,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,646 : 274,020 = 274,020 : x
  2. Step 2: Convert to fraction form
    201,646/274,020 = 274,020/x
  3. Step 3: Cross multiply
    201,646x = 274,020 × 274,020
  4. Step 4: Simplify right side
    201,646x = 75,086,960,400
  5. Step 5: Solve for x
    x = 75,086,960,400/201,646
  6. Step 6: Final answer
    x = 372,370.20

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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.