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Finding the Third Proportional to 181,194 and 384,312

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Solution

The third proportional to 181,194 and 384,312 is: 815,124.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,194 : 384,312 = 384,312 : x
  2. Step 2: Convert to fraction form
    181,194/384,312 = 384,312/x
  3. Step 3: Cross multiply
    181,194x = 384,312 × 384,312
  4. Step 4: Simplify right side
    181,194x = 147,695,713,344
  5. Step 5: Solve for x
    x = 147,695,713,344/181,194
  6. Step 6: Final answer
    x = 815,124.75

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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.