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Finding the Third Proportional to 191,668.50 and 300,690

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Solution

The third proportional to 191,668.50 and 300,690 is: 471,723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,668.50 : 300,690 = 300,690 : x
  2. Step 2: Convert to fraction form
    191,668.50/300,690 = 300,690/x
  3. Step 3: Cross multiply
    191,668.50x = 300,690 × 300,690
  4. Step 4: Simplify right side
    191,668.50x = 90,414,476,100
  5. Step 5: Solve for x
    x = 90,414,476,100/191,668.50
  6. Step 6: Final answer
    x = 471,723.19

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.