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Finding the Third Proportional to 173,624 and 262,612

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Solution

The third proportional to 173,624 and 262,612 is: 397,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,624 : 262,612 = 262,612 : x
  2. Step 2: Convert to fraction form
    173,624/262,612 = 262,612/x
  3. Step 3: Cross multiply
    173,624x = 262,612 × 262,612
  4. Step 4: Simplify right side
    173,624x = 68,965,062,544
  5. Step 5: Solve for x
    x = 68,965,062,544/173,624
  6. Step 6: Final answer
    x = 397,209.27

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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.