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Finding the Third Proportional to 146,034 and 298,980

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Solution

The third proportional to 146,034 and 298,980 is: 612,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,034 : 298,980 = 298,980 : x
  2. Step 2: Convert to fraction form
    146,034/298,980 = 298,980/x
  3. Step 3: Cross multiply
    146,034x = 298,980 × 298,980
  4. Step 4: Simplify right side
    146,034x = 89,389,040,400
  5. Step 5: Solve for x
    x = 89,389,040,400/146,034
  6. Step 6: Final answer
    x = 612,111.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.