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Finding the Third Proportional to 181,206 and 384,336

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Solution

The third proportional to 181,206 and 384,336 is: 815,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,206 : 384,336 = 384,336 : x
  2. Step 2: Convert to fraction form
    181,206/384,336 = 384,336/x
  3. Step 3: Cross multiply
    181,206x = 384,336 × 384,336
  4. Step 4: Simplify right side
    181,206x = 147,714,160,896
  5. Step 5: Solve for x
    x = 147,714,160,896/181,206
  6. Step 6: Final answer
    x = 815,172.57

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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.