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Finding the Third Proportional to 181,223 and 384,370

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Solution

The third proportional to 181,223 and 384,370 is: 815,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,223 : 384,370 = 384,370 : x
  2. Step 2: Convert to fraction form
    181,223/384,370 = 384,370/x
  3. Step 3: Cross multiply
    181,223x = 384,370 × 384,370
  4. Step 4: Simplify right side
    181,223x = 147,740,296,900
  5. Step 5: Solve for x
    x = 147,740,296,900/181,223
  6. Step 6: Final answer
    x = 815,240.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.