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Finding the Third Proportional to 128,348 and 198,356

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Solution

The third proportional to 128,348 and 198,356 is: 306,550.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,348 : 198,356 = 198,356 : x
  2. Step 2: Convert to fraction form
    128,348/198,356 = 198,356/x
  3. Step 3: Cross multiply
    128,348x = 198,356 × 198,356
  4. Step 4: Simplify right side
    128,348x = 39,345,102,736
  5. Step 5: Solve for x
    x = 39,345,102,736/128,348
  6. Step 6: Final answer
    x = 306,550.18

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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.