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Finding the Third Proportional to 102,192 and 223,392

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Solution

The third proportional to 102,192 and 223,392 is: 488,335.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,192 : 223,392 = 223,392 : x
  2. Step 2: Convert to fraction form
    102,192/223,392 = 223,392/x
  3. Step 3: Cross multiply
    102,192x = 223,392 × 223,392
  4. Step 4: Simplify right side
    102,192x = 49,903,985,664
  5. Step 5: Solve for x
    x = 49,903,985,664/102,192
  6. Step 6: Final answer
    x = 488,335.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.