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Finding the Third Proportional to 150,710 and 228,005

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Solution

The third proportional to 150,710 and 228,005 is: 344,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,710 : 228,005 = 228,005 : x
  2. Step 2: Convert to fraction form
    150,710/228,005 = 228,005/x
  3. Step 3: Cross multiply
    150,710x = 228,005 × 228,005
  4. Step 4: Simplify right side
    150,710x = 51,986,280,025
  5. Step 5: Solve for x
    x = 51,986,280,025/150,710
  6. Step 6: Final answer
    x = 344,942.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.