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Finding the Third Proportional to 150,094 and 228,235

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Solution

The third proportional to 150,094 and 228,235 is: 347,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,094 : 228,235 = 228,235 : x
  2. Step 2: Convert to fraction form
    150,094/228,235 = 228,235/x
  3. Step 3: Cross multiply
    150,094x = 228,235 × 228,235
  4. Step 4: Simplify right side
    150,094x = 52,091,215,225
  5. Step 5: Solve for x
    x = 52,091,215,225/150,094
  6. Step 6: Final answer
    x = 347,057.28

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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.