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Finding the Third Proportional to 151,227 and 228,054.75

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Solution

The third proportional to 151,227 and 228,054.75 is: 343,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,227 : 228,054.75 = 228,054.75 : x
  2. Step 2: Convert to fraction form
    151,227/228,054.75 = 228,054.75/x
  3. Step 3: Cross multiply
    151,227x = 228,054.75 × 228,054.75
  4. Step 4: Simplify right side
    151,227x = 52,008,968,997.56
  5. Step 5: Solve for x
    x = 52,008,968,997.56/151,227
  6. Step 6: Final answer
    x = 343,913.25

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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.