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Finding the Third Proportional to 193,996 and 292,722

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Solution

The third proportional to 193,996 and 292,722 is: 441,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,996 : 292,722 = 292,722 : x
  2. Step 2: Convert to fraction form
    193,996/292,722 = 292,722/x
  3. Step 3: Cross multiply
    193,996x = 292,722 × 292,722
  4. Step 4: Simplify right side
    193,996x = 85,686,169,284
  5. Step 5: Solve for x
    x = 85,686,169,284/193,996
  6. Step 6: Final answer
    x = 441,690.39

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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.