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Finding the Third Proportional to 196,188.75 and 277,683.19

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Solution

The third proportional to 196,188.75 and 277,683.19 is: 393,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,188.75 : 277,683.19 = 277,683.19 : x
  2. Step 2: Convert to fraction form
    196,188.75/277,683.19 = 277,683.19/x
  3. Step 3: Cross multiply
    196,188.75x = 277,683.19 × 277,683.19
  4. Step 4: Simplify right side
    196,188.75x = 77,107,952,620.16
  5. Step 5: Solve for x
    x = 77,107,952,620.16/196,188.75
  6. Step 6: Final answer
    x = 393,029.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.