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Finding the Third Proportional to 177,392 and 265,393

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Solution

The third proportional to 177,392 and 265,393 is: 397,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,392 : 265,393 = 265,393 : x
  2. Step 2: Convert to fraction form
    177,392/265,393 = 265,393/x
  3. Step 3: Cross multiply
    177,392x = 265,393 × 265,393
  4. Step 4: Simplify right side
    177,392x = 70,433,444,449
  5. Step 5: Solve for x
    x = 70,433,444,449/177,392
  6. Step 6: Final answer
    x = 397,049.72

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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.