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Finding the Third Proportional to 138,874.75 and 298,466.25

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Solution

The third proportional to 138,874.75 and 298,466.25 is: 641,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,874.75 : 298,466.25 = 298,466.25 : x
  2. Step 2: Convert to fraction form
    138,874.75/298,466.25 = 298,466.25/x
  3. Step 3: Cross multiply
    138,874.75x = 298,466.25 × 298,466.25
  4. Step 4: Simplify right side
    138,874.75x = 89,082,102,389.06
  5. Step 5: Solve for x
    x = 89,082,102,389.06/138,874.75
  6. Step 6: Final answer
    x = 641,456.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.