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Finding the Third Proportional to 150,099 and 228,244.75

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Solution

The third proportional to 150,099 and 228,244.75 is: 347,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,099 : 228,244.75 = 228,244.75 : x
  2. Step 2: Convert to fraction form
    150,099/228,244.75 = 228,244.75/x
  3. Step 3: Cross multiply
    150,099x = 228,244.75 × 228,244.75
  4. Step 4: Simplify right side
    150,099x = 52,095,665,902.56
  5. Step 5: Solve for x
    x = 52,095,665,902.56/150,099
  6. Step 6: Final answer
    x = 347,075.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.