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Finding the Third Proportional to 220,167 and 349,933

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Solution

The third proportional to 220,167 and 349,933 is: 556,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,167 : 349,933 = 349,933 : x
  2. Step 2: Convert to fraction form
    220,167/349,933 = 349,933/x
  3. Step 3: Cross multiply
    220,167x = 349,933 × 349,933
  4. Step 4: Simplify right side
    220,167x = 122,453,104,489
  5. Step 5: Solve for x
    x = 122,453,104,489/220,167
  6. Step 6: Final answer
    x = 556,182.83

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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.