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Finding the Third Proportional to 150,059.50 and 228,901

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Solution

The third proportional to 150,059.50 and 228,901 is: 349,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,059.50 : 228,901 = 228,901 : x
  2. Step 2: Convert to fraction form
    150,059.50/228,901 = 228,901/x
  3. Step 3: Cross multiply
    150,059.50x = 228,901 × 228,901
  4. Step 4: Simplify right side
    150,059.50x = 52,395,667,801
  5. Step 5: Solve for x
    x = 52,395,667,801/150,059.50
  6. Step 6: Final answer
    x = 349,165.95

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