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Finding the Third Proportional to 151,213.50 and 228,034.50

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Solution

The third proportional to 151,213.50 and 228,034.50 is: 343,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,213.50 : 228,034.50 = 228,034.50 : x
  2. Step 2: Convert to fraction form
    151,213.50/228,034.50 = 228,034.50/x
  3. Step 3: Cross multiply
    151,213.50x = 228,034.50 × 228,034.50
  4. Step 4: Simplify right side
    151,213.50x = 51,999,733,190.25
  5. Step 5: Solve for x
    x = 51,999,733,190.25/151,213.50
  6. Step 6: Final answer
    x = 343,882.88

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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.