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Finding the Third Proportional to 139,650.75 and 298,983

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Solution

The third proportional to 139,650.75 and 298,983 is: 640,102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,650.75 : 298,983 = 298,983 : x
  2. Step 2: Convert to fraction form
    139,650.75/298,983 = 298,983/x
  3. Step 3: Cross multiply
    139,650.75x = 298,983 × 298,983
  4. Step 4: Simplify right side
    139,650.75x = 89,390,834,289
  5. Step 5: Solve for x
    x = 89,390,834,289/139,650.75
  6. Step 6: Final answer
    x = 640,102.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.