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Finding the Third Proportional to 200,962 and 272,912

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Solution

The third proportional to 200,962 and 272,912 is: 370,622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,962 : 272,912 = 272,912 : x
  2. Step 2: Convert to fraction form
    200,962/272,912 = 272,912/x
  3. Step 3: Cross multiply
    200,962x = 272,912 × 272,912
  4. Step 4: Simplify right side
    200,962x = 74,480,959,744
  5. Step 5: Solve for x
    x = 74,480,959,744/200,962
  6. Step 6: Final answer
    x = 370,622.11

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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.