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Finding the Third Proportional to 197,645 and 295,927

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Solution

The third proportional to 197,645 and 295,927 is: 443,081.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,645 : 295,927 = 295,927 : x
  2. Step 2: Convert to fraction form
    197,645/295,927 = 295,927/x
  3. Step 3: Cross multiply
    197,645x = 295,927 × 295,927
  4. Step 4: Simplify right side
    197,645x = 87,572,789,329
  5. Step 5: Solve for x
    x = 87,572,789,329/197,645
  6. Step 6: Final answer
    x = 443,081.23

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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.