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Finding the Third Proportional to 139,900.50 and 299,745.56

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Solution

The third proportional to 139,900.50 and 299,745.56 is: 642,223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,900.50 : 299,745.56 = 299,745.56 : x
  2. Step 2: Convert to fraction form
    139,900.50/299,745.56 = 299,745.56/x
  3. Step 3: Cross multiply
    139,900.50x = 299,745.56 × 299,745.56
  4. Step 4: Simplify right side
    139,900.50x = 89,847,402,238.44
  5. Step 5: Solve for x
    x = 89,847,402,238.44/139,900.50
  6. Step 6: Final answer
    x = 642,223.60

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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.