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Finding the Third Proportional to 228,264 and 343,086

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Solution

The third proportional to 228,264 and 343,086 is: 515,666.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,264 : 343,086 = 343,086 : x
  2. Step 2: Convert to fraction form
    228,264/343,086 = 343,086/x
  3. Step 3: Cross multiply
    228,264x = 343,086 × 343,086
  4. Step 4: Simplify right side
    228,264x = 117,708,003,396
  5. Step 5: Solve for x
    x = 117,708,003,396/228,264
  6. Step 6: Final answer
    x = 515,666.09

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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.