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Finding the Third Proportional to 151,838 and 228,245

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Solution

The third proportional to 151,838 and 228,245 is: 343,101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,838 : 228,245 = 228,245 : x
  2. Step 2: Convert to fraction form
    151,838/228,245 = 228,245/x
  3. Step 3: Cross multiply
    151,838x = 228,245 × 228,245
  4. Step 4: Simplify right side
    151,838x = 52,095,780,025
  5. Step 5: Solve for x
    x = 52,095,780,025/151,838
  6. Step 6: Final answer
    x = 343,101.07

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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.