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Finding the Third Proportional to 129,638 and 199,988

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Solution

The third proportional to 129,638 and 199,988 is: 308,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,638 : 199,988 = 199,988 : x
  2. Step 2: Convert to fraction form
    129,638/199,988 = 199,988/x
  3. Step 3: Cross multiply
    129,638x = 199,988 × 199,988
  4. Step 4: Simplify right side
    129,638x = 39,995,200,144
  5. Step 5: Solve for x
    x = 39,995,200,144/129,638
  6. Step 6: Final answer
    x = 308,514.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.