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Finding the Third Proportional to 150,111 and 228,259

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Solution

The third proportional to 150,111 and 228,259 is: 347,090.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,111 : 228,259 = 228,259 : x
  2. Step 2: Convert to fraction form
    150,111/228,259 = 228,259/x
  3. Step 3: Cross multiply
    150,111x = 228,259 × 228,259
  4. Step 4: Simplify right side
    150,111x = 52,102,171,081
  5. Step 5: Solve for x
    x = 52,102,171,081/150,111
  6. Step 6: Final answer
    x = 347,090.96

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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.