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Finding the Third Proportional to 196,651 and 298,601.50

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Solution

The third proportional to 196,651 and 298,601.50 is: 453,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,651 : 298,601.50 = 298,601.50 : x
  2. Step 2: Convert to fraction form
    196,651/298,601.50 = 298,601.50/x
  3. Step 3: Cross multiply
    196,651x = 298,601.50 × 298,601.50
  4. Step 4: Simplify right side
    196,651x = 89,162,855,802.25
  5. Step 5: Solve for x
    x = 89,162,855,802.25/196,651
  6. Step 6: Final answer
    x = 453,406.57

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.