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Finding the Third Proportional to 193,968 and 292,680

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Solution

The third proportional to 193,968 and 292,680 is: 441,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,968 : 292,680 = 292,680 : x
  2. Step 2: Convert to fraction form
    193,968/292,680 = 292,680/x
  3. Step 3: Cross multiply
    193,968x = 292,680 × 292,680
  4. Step 4: Simplify right side
    193,968x = 85,661,582,400
  5. Step 5: Solve for x
    x = 85,661,582,400/193,968
  6. Step 6: Final answer
    x = 441,627.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.