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Finding the Third Proportional to 150,059.63 and 228,900.38

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Solution

The third proportional to 150,059.63 and 228,900.38 is: 349,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,059.63 : 228,900.38 = 228,900.38 : x
  2. Step 2: Convert to fraction form
    150,059.63/228,900.38 = 228,900.38/x
  3. Step 3: Cross multiply
    150,059.63x = 228,900.38 × 228,900.38
  4. Step 4: Simplify right side
    150,059.63x = 52,395,381,675.14
  5. Step 5: Solve for x
    x = 52,395,381,675.14/150,059.63
  6. Step 6: Final answer
    x = 349,163.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.