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Finding the Third Proportional to 144,922.50 and 309,745.69

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Solution

The third proportional to 144,922.50 and 309,745.69 is: 662,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,922.50 : 309,745.69 = 309,745.69 : x
  2. Step 2: Convert to fraction form
    144,922.50/309,745.69 = 309,745.69/x
  3. Step 3: Cross multiply
    144,922.50x = 309,745.69 × 309,745.69
  4. Step 4: Simplify right side
    144,922.50x = 95,942,390,924.85
  5. Step 5: Solve for x
    x = 95,942,390,924.85/144,922.50
  6. Step 6: Final answer
    x = 662,025.50

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