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Finding the Third Proportional to 150,099 and 228,243

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Solution

The third proportional to 150,099 and 228,243 is: 347,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,099 : 228,243 = 228,243 : x
  2. Step 2: Convert to fraction form
    150,099/228,243 = 228,243/x
  3. Step 3: Cross multiply
    150,099x = 228,243 × 228,243
  4. Step 4: Simplify right side
    150,099x = 52,094,867,049
  5. Step 5: Solve for x
    x = 52,094,867,049/150,099
  6. Step 6: Final answer
    x = 347,070.05

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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.