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Finding the Third Proportional to 137,024.75 and 298,885

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Solution

The third proportional to 137,024.75 and 298,885 is: 651,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,024.75 : 298,885 = 298,885 : x
  2. Step 2: Convert to fraction form
    137,024.75/298,885 = 298,885/x
  3. Step 3: Cross multiply
    137,024.75x = 298,885 × 298,885
  4. Step 4: Simplify right side
    137,024.75x = 89,332,243,225
  5. Step 5: Solve for x
    x = 89,332,243,225/137,024.75
  6. Step 6: Final answer
    x = 651,942.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.