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Finding the Third Proportional to 193,512 and 298,890

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Solution

The third proportional to 193,512 and 298,890 is: 461,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,512 : 298,890 = 298,890 : x
  2. Step 2: Convert to fraction form
    193,512/298,890 = 298,890/x
  3. Step 3: Cross multiply
    193,512x = 298,890 × 298,890
  4. Step 4: Simplify right side
    193,512x = 89,335,232,100
  5. Step 5: Solve for x
    x = 89,335,232,100/193,512
  6. Step 6: Final answer
    x = 461,652.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.