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Finding the Third Proportional to 150,096 and 228,239

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Solution

The third proportional to 150,096 and 228,239 is: 347,064.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,096 : 228,239 = 228,239 : x
  2. Step 2: Convert to fraction form
    150,096/228,239 = 228,239/x
  3. Step 3: Cross multiply
    150,096x = 228,239 × 228,239
  4. Step 4: Simplify right side
    150,096x = 52,093,041,121
  5. Step 5: Solve for x
    x = 52,093,041,121/150,096
  6. Step 6: Final answer
    x = 347,064.82

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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.