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Finding the Third Proportional to 151,668.50 and 227,989

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Solution

The third proportional to 151,668.50 and 227,989 is: 342,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,668.50 : 227,989 = 227,989 : x
  2. Step 2: Convert to fraction form
    151,668.50/227,989 = 227,989/x
  3. Step 3: Cross multiply
    151,668.50x = 227,989 × 227,989
  4. Step 4: Simplify right side
    151,668.50x = 51,978,984,121
  5. Step 5: Solve for x
    x = 51,978,984,121/151,668.50
  6. Step 6: Final answer
    x = 342,714.43

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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.