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Finding the Third Proportional to 196,173 and 277,661.81

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Solution

The third proportional to 196,173 and 277,661.81 is: 393,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,173 : 277,661.81 = 277,661.81 : x
  2. Step 2: Convert to fraction form
    196,173/277,661.81 = 277,661.81/x
  3. Step 3: Cross multiply
    196,173x = 277,661.81 × 277,661.81
  4. Step 4: Simplify right side
    196,173x = 77,096,082,120.79
  5. Step 5: Solve for x
    x = 77,096,082,120.79/196,173
  6. Step 6: Final answer
    x = 393,000.47

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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.