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Finding the Third Proportional to 200,918 and 273,614

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Solution

The third proportional to 200,918 and 273,614 is: 372,612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,918 : 273,614 = 273,614 : x
  2. Step 2: Convert to fraction form
    200,918/273,614 = 273,614/x
  3. Step 3: Cross multiply
    200,918x = 273,614 × 273,614
  4. Step 4: Simplify right side
    200,918x = 74,864,620,996
  5. Step 5: Solve for x
    x = 74,864,620,996/200,918
  6. Step 6: Final answer
    x = 372,612.81

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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.