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Finding the Third Proportional to 141,232 and 197,936

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Solution

The third proportional to 141,232 and 197,936 is: 277,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,232 : 197,936 = 197,936 : x
  2. Step 2: Convert to fraction form
    141,232/197,936 = 197,936/x
  3. Step 3: Cross multiply
    141,232x = 197,936 × 197,936
  4. Step 4: Simplify right side
    141,232x = 39,178,660,096
  5. Step 5: Solve for x
    x = 39,178,660,096/141,232
  6. Step 6: Final answer
    x = 277,406.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.