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Finding the Third Proportional to 151,738 and 228,092

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Solution

The third proportional to 151,738 and 228,092 is: 342,867.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,738 : 228,092 = 228,092 : x
  2. Step 2: Convert to fraction form
    151,738/228,092 = 228,092/x
  3. Step 3: Cross multiply
    151,738x = 228,092 × 228,092
  4. Step 4: Simplify right side
    151,738x = 52,025,960,464
  5. Step 5: Solve for x
    x = 52,025,960,464/151,738
  6. Step 6: Final answer
    x = 342,867.05

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