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Finding the Third Proportional to 201,424 and 272,589

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Solution

The third proportional to 201,424 and 272,589 is: 368,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,424 : 272,589 = 272,589 : x
  2. Step 2: Convert to fraction form
    201,424/272,589 = 272,589/x
  3. Step 3: Cross multiply
    201,424x = 272,589 × 272,589
  4. Step 4: Simplify right side
    201,424x = 74,304,762,921
  5. Step 5: Solve for x
    x = 74,304,762,921/201,424
  6. Step 6: Final answer
    x = 368,897.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.