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Finding the Third Proportional to 219,220 and 349,093

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Solution

The third proportional to 219,220 and 349,093 is: 555,906.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,220 : 349,093 = 349,093 : x
  2. Step 2: Convert to fraction form
    219,220/349,093 = 349,093/x
  3. Step 3: Cross multiply
    219,220x = 349,093 × 349,093
  4. Step 4: Simplify right side
    219,220x = 121,865,922,649
  5. Step 5: Solve for x
    x = 121,865,922,649/219,220
  6. Step 6: Final answer
    x = 555,906.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.