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Finding the Third Proportional to 267,851 and 405,232

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Solution

The third proportional to 267,851 and 405,232 is: 613,075.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,851 : 405,232 = 405,232 : x
  2. Step 2: Convert to fraction form
    267,851/405,232 = 405,232/x
  3. Step 3: Cross multiply
    267,851x = 405,232 × 405,232
  4. Step 4: Simplify right side
    267,851x = 164,212,973,824
  5. Step 5: Solve for x
    x = 164,212,973,824/267,851
  6. Step 6: Final answer
    x = 613,075.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.