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Finding the Third Proportional to 196,357.50 and 300,246.75

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Solution

The third proportional to 196,357.50 and 300,246.75 is: 459,101.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,357.50 : 300,246.75 = 300,246.75 : x
  2. Step 2: Convert to fraction form
    196,357.50/300,246.75 = 300,246.75/x
  3. Step 3: Cross multiply
    196,357.50x = 300,246.75 × 300,246.75
  4. Step 4: Simplify right side
    196,357.50x = 90,148,110,885.56
  5. Step 5: Solve for x
    x = 90,148,110,885.56/196,357.50
  6. Step 6: Final answer
    x = 459,101.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.