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Finding the Third Proportional to 128,338 and 198,339

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Solution

The third proportional to 128,338 and 198,339 is: 306,521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,338 : 198,339 = 198,339 : x
  2. Step 2: Convert to fraction form
    128,338/198,339 = 198,339/x
  3. Step 3: Cross multiply
    128,338x = 198,339 × 198,339
  4. Step 4: Simplify right side
    128,338x = 39,338,358,921
  5. Step 5: Solve for x
    x = 39,338,358,921/128,338
  6. Step 6: Final answer
    x = 306,521.52

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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.