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Finding the Third Proportional to 220,162 and 349,886

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Solution

The third proportional to 220,162 and 349,886 is: 556,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,162 : 349,886 = 349,886 : x
  2. Step 2: Convert to fraction form
    220,162/349,886 = 349,886/x
  3. Step 3: Cross multiply
    220,162x = 349,886 × 349,886
  4. Step 4: Simplify right side
    220,162x = 122,420,212,996
  5. Step 5: Solve for x
    x = 122,420,212,996/220,162
  6. Step 6: Final answer
    x = 556,046.06

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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.