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Finding the Third Proportional to 151,832 and 228,236

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Solution

The third proportional to 151,832 and 228,236 is: 343,087.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,832 : 228,236 = 228,236 : x
  2. Step 2: Convert to fraction form
    151,832/228,236 = 228,236/x
  3. Step 3: Cross multiply
    151,832x = 228,236 × 228,236
  4. Step 4: Simplify right side
    151,832x = 52,091,671,696
  5. Step 5: Solve for x
    x = 52,091,671,696/151,832
  6. Step 6: Final answer
    x = 343,087.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.