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Finding the Third Proportional to 177,162 and 265,254

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Solution

The third proportional to 177,162 and 265,254 is: 397,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,162 : 265,254 = 265,254 : x
  2. Step 2: Convert to fraction form
    177,162/265,254 = 265,254/x
  3. Step 3: Cross multiply
    177,162x = 265,254 × 265,254
  4. Step 4: Simplify right side
    177,162x = 70,359,684,516
  5. Step 5: Solve for x
    x = 70,359,684,516/177,162
  6. Step 6: Final answer
    x = 397,148.85

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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.