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Finding the Third Proportional to 103,664 and 223,267

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Solution

The third proportional to 103,664 and 223,267 is: 480,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,664 : 223,267 = 223,267 : x
  2. Step 2: Convert to fraction form
    103,664/223,267 = 223,267/x
  3. Step 3: Cross multiply
    103,664x = 223,267 × 223,267
  4. Step 4: Simplify right side
    103,664x = 49,848,153,289
  5. Step 5: Solve for x
    x = 49,848,153,289/103,664
  6. Step 6: Final answer
    x = 480,862.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.