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Finding the Third Proportional to 196,917.38 and 305,501.44

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Solution

The third proportional to 196,917.38 and 305,501.44 is: 473,960.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,917.38 : 305,501.44 = 305,501.44 : x
  2. Step 2: Convert to fraction form
    196,917.38/305,501.44 = 305,501.44/x
  3. Step 3: Cross multiply
    196,917.38x = 305,501.44 × 305,501.44
  4. Step 4: Simplify right side
    196,917.38x = 93,331,128,314.57
  5. Step 5: Solve for x
    x = 93,331,128,314.57/196,917.38
  6. Step 6: Final answer
    x = 473,960.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.