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Finding the Third Proportional to 177,573 and 264,922

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Solution

The third proportional to 177,573 and 264,922 is: 395,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,573 : 264,922 = 264,922 : x
  2. Step 2: Convert to fraction form
    177,573/264,922 = 264,922/x
  3. Step 3: Cross multiply
    177,573x = 264,922 × 264,922
  4. Step 4: Simplify right side
    177,573x = 70,183,666,084
  5. Step 5: Solve for x
    x = 70,183,666,084/177,573
  6. Step 6: Final answer
    x = 395,238.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.