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Finding the Third Proportional to 134,397 and 198,531

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Solution

The third proportional to 134,397 and 198,531 is: 293,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,397 : 198,531 = 198,531 : x
  2. Step 2: Convert to fraction form
    134,397/198,531 = 198,531/x
  3. Step 3: Cross multiply
    134,397x = 198,531 × 198,531
  4. Step 4: Simplify right side
    134,397x = 39,414,557,961
  5. Step 5: Solve for x
    x = 39,414,557,961/134,397
  6. Step 6: Final answer
    x = 293,269.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.