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Finding the Third Proportional to 88,257 and 194,328

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Solution

The third proportional to 88,257 and 194,328 is: 427,879.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,257 : 194,328 = 194,328 : x
  2. Step 2: Convert to fraction form
    88,257/194,328 = 194,328/x
  3. Step 3: Cross multiply
    88,257x = 194,328 × 194,328
  4. Step 4: Simplify right side
    88,257x = 37,763,371,584
  5. Step 5: Solve for x
    x = 37,763,371,584/88,257
  6. Step 6: Final answer
    x = 427,879.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.