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Finding the Third Proportional to 221,118 and 350,693

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Solution

The third proportional to 221,118 and 350,693 is: 556,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,118 : 350,693 = 350,693 : x
  2. Step 2: Convert to fraction form
    221,118/350,693 = 350,693/x
  3. Step 3: Cross multiply
    221,118x = 350,693 × 350,693
  4. Step 4: Simplify right side
    221,118x = 122,985,580,249
  5. Step 5: Solve for x
    x = 122,985,580,249/221,118
  6. Step 6: Final answer
    x = 556,198.86

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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.