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Finding the Third Proportional to 100,593 and 217,521

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Solution

The third proportional to 100,593 and 217,521 is: 470,364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,593 : 217,521 = 217,521 : x
  2. Step 2: Convert to fraction form
    100,593/217,521 = 217,521/x
  3. Step 3: Cross multiply
    100,593x = 217,521 × 217,521
  4. Step 4: Simplify right side
    100,593x = 47,315,385,441
  5. Step 5: Solve for x
    x = 47,315,385,441/100,593
  6. Step 6: Final answer
    x = 470,364.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.