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Finding the Third Proportional to 173,622 and 262,609

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Solution

The third proportional to 173,622 and 262,609 is: 397,204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,622 : 262,609 = 262,609 : x
  2. Step 2: Convert to fraction form
    173,622/262,609 = 262,609/x
  3. Step 3: Cross multiply
    173,622x = 262,609 × 262,609
  4. Step 4: Simplify right side
    173,622x = 68,963,486,881
  5. Step 5: Solve for x
    x = 68,963,486,881/173,622
  6. Step 6: Final answer
    x = 397,204.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.