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Finding the Third Proportional to 181,212 and 384,348

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Solution

The third proportional to 181,212 and 384,348 is: 815,196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,212 : 384,348 = 384,348 : x
  2. Step 2: Convert to fraction form
    181,212/384,348 = 384,348/x
  3. Step 3: Cross multiply
    181,212x = 384,348 × 384,348
  4. Step 4: Simplify right side
    181,212x = 147,723,385,104
  5. Step 5: Solve for x
    x = 147,723,385,104/181,212
  6. Step 6: Final answer
    x = 815,196.48

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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.