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Finding the Third Proportional to 201,012 and 272,992

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Solution

The third proportional to 201,012 and 272,992 is: 370,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,012 : 272,992 = 272,992 : x
  2. Step 2: Convert to fraction form
    201,012/272,992 = 272,992/x
  3. Step 3: Cross multiply
    201,012x = 272,992 × 272,992
  4. Step 4: Simplify right side
    201,012x = 74,524,632,064
  5. Step 5: Solve for x
    x = 74,524,632,064/201,012
  6. Step 6: Final answer
    x = 370,747.18

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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.