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Finding the Third Proportional to 151,346 and 228,171

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Solution

The third proportional to 151,346 and 228,171 is: 343,993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,346 : 228,171 = 228,171 : x
  2. Step 2: Convert to fraction form
    151,346/228,171 = 228,171/x
  3. Step 3: Cross multiply
    151,346x = 228,171 × 228,171
  4. Step 4: Simplify right side
    151,346x = 52,062,005,241
  5. Step 5: Solve for x
    x = 52,062,005,241/151,346
  6. Step 6: Final answer
    x = 343,993.27

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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.