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Finding the Third Proportional to 197,698 and 306,348

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Solution

The third proportional to 197,698 and 306,348 is: 474,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,698 : 306,348 = 306,348 : x
  2. Step 2: Convert to fraction form
    197,698/306,348 = 306,348/x
  3. Step 3: Cross multiply
    197,698x = 306,348 × 306,348
  4. Step 4: Simplify right side
    197,698x = 93,849,097,104
  5. Step 5: Solve for x
    x = 93,849,097,104/197,698
  6. Step 6: Final answer
    x = 474,709.39

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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.