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Finding the Third Proportional to 193,992 and 288,072

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Solution

The third proportional to 193,992 and 288,072 is: 427,777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,992 : 288,072 = 288,072 : x
  2. Step 2: Convert to fraction form
    193,992/288,072 = 288,072/x
  3. Step 3: Cross multiply
    193,992x = 288,072 × 288,072
  4. Step 4: Simplify right side
    193,992x = 82,985,477,184
  5. Step 5: Solve for x
    x = 82,985,477,184/193,992
  6. Step 6: Final answer
    x = 427,777.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.