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Finding the Third Proportional to 177,165 and 265,257

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Solution

The third proportional to 177,165 and 265,257 is: 397,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,165 : 265,257 = 265,257 : x
  2. Step 2: Convert to fraction form
    177,165/265,257 = 265,257/x
  3. Step 3: Cross multiply
    177,165x = 265,257 × 265,257
  4. Step 4: Simplify right side
    177,165x = 70,361,276,049
  5. Step 5: Solve for x
    x = 70,361,276,049/177,165
  6. Step 6: Final answer
    x = 397,151.11

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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.