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Finding the Third Proportional to 150,090.47 and 228,230.16

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Solution

The third proportional to 150,090.47 and 228,230.16 is: 347,050.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,090.47 : 228,230.16 = 228,230.16 : x
  2. Step 2: Convert to fraction form
    150,090.47/228,230.16 = 228,230.16/x
  3. Step 3: Cross multiply
    150,090.47x = 228,230.16 × 228,230.16
  4. Step 4: Simplify right side
    150,090.47x = 52,089,004,221.90
  5. Step 5: Solve for x
    x = 52,089,004,221.90/150,090.47
  6. Step 6: Final answer
    x = 347,050.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.