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Finding the Third Proportional to 177,462 and 268,041

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Solution

The third proportional to 177,462 and 268,041 is: 404,852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,462 : 268,041 = 268,041 : x
  2. Step 2: Convert to fraction form
    177,462/268,041 = 268,041/x
  3. Step 3: Cross multiply
    177,462x = 268,041 × 268,041
  4. Step 4: Simplify right side
    177,462x = 71,845,977,681
  5. Step 5: Solve for x
    x = 71,845,977,681/177,462
  6. Step 6: Final answer
    x = 404,852.74

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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.