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Finding the Third Proportional to 193,266 and 288,999

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Solution

The third proportional to 193,266 and 288,999 is: 432,152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,266 : 288,999 = 288,999 : x
  2. Step 2: Convert to fraction form
    193,266/288,999 = 288,999/x
  3. Step 3: Cross multiply
    193,266x = 288,999 × 288,999
  4. Step 4: Simplify right side
    193,266x = 83,520,422,001
  5. Step 5: Solve for x
    x = 83,520,422,001/193,266
  6. Step 6: Final answer
    x = 432,152.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.