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Finding the Third Proportional to 150,469 and 228,658

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Solution

The third proportional to 150,469 and 228,658 is: 347,476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,469 : 228,658 = 228,658 : x
  2. Step 2: Convert to fraction form
    150,469/228,658 = 228,658/x
  3. Step 3: Cross multiply
    150,469x = 228,658 × 228,658
  4. Step 4: Simplify right side
    150,469x = 52,284,480,964
  5. Step 5: Solve for x
    x = 52,284,480,964/150,469
  6. Step 6: Final answer
    x = 347,476.76

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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.