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Finding the Third Proportional to 303,158 and 505,233

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Solution

The third proportional to 303,158 and 505,233 is: 842,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,158 : 505,233 = 505,233 : x
  2. Step 2: Convert to fraction form
    303,158/505,233 = 505,233/x
  3. Step 3: Cross multiply
    303,158x = 505,233 × 505,233
  4. Step 4: Simplify right side
    303,158x = 255,260,384,289
  5. Step 5: Solve for x
    x = 255,260,384,289/303,158
  6. Step 6: Final answer
    x = 842,004.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.