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Finding the Third Proportional to 128,898 and 199,179

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Solution

The third proportional to 128,898 and 199,179 is: 307,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,898 : 199,179 = 199,179 : x
  2. Step 2: Convert to fraction form
    128,898/199,179 = 199,179/x
  3. Step 3: Cross multiply
    128,898x = 199,179 × 199,179
  4. Step 4: Simplify right side
    128,898x = 39,672,274,041
  5. Step 5: Solve for x
    x = 39,672,274,041/128,898
  6. Step 6: Final answer
    x = 307,780.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.