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Finding the Third Proportional to 177,462 and 265,491

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Solution

The third proportional to 177,462 and 265,491 is: 397,186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,462 : 265,491 = 265,491 : x
  2. Step 2: Convert to fraction form
    177,462/265,491 = 265,491/x
  3. Step 3: Cross multiply
    177,462x = 265,491 × 265,491
  4. Step 4: Simplify right side
    177,462x = 70,485,471,081
  5. Step 5: Solve for x
    x = 70,485,471,081/177,462
  6. Step 6: Final answer
    x = 397,186.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.