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Finding the Third Proportional to 193,001 and 395,362

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Solution

The third proportional to 193,001 and 395,362 is: 809,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,001 : 395,362 = 395,362 : x
  2. Step 2: Convert to fraction form
    193,001/395,362 = 395,362/x
  3. Step 3: Cross multiply
    193,001x = 395,362 × 395,362
  4. Step 4: Simplify right side
    193,001x = 156,311,111,044
  5. Step 5: Solve for x
    x = 156,311,111,044/193,001
  6. Step 6: Final answer
    x = 809,897.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.