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Finding the Third Proportional to 141,339 and 198,084

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Solution

The third proportional to 141,339 and 198,084 is: 277,611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,339 : 198,084 = 198,084 : x
  2. Step 2: Convert to fraction form
    141,339/198,084 = 198,084/x
  3. Step 3: Cross multiply
    141,339x = 198,084 × 198,084
  4. Step 4: Simplify right side
    141,339x = 39,237,271,056
  5. Step 5: Solve for x
    x = 39,237,271,056/141,339
  6. Step 6: Final answer
    x = 277,611.07

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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.