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Finding the Third Proportional to 197,736 and 306,432

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Solution

The third proportional to 197,736 and 306,432 is: 474,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,736 : 306,432 = 306,432 : x
  2. Step 2: Convert to fraction form
    197,736/306,432 = 306,432/x
  3. Step 3: Cross multiply
    197,736x = 306,432 × 306,432
  4. Step 4: Simplify right side
    197,736x = 93,900,570,624
  5. Step 5: Solve for x
    x = 93,900,570,624/197,736
  6. Step 6: Final answer
    x = 474,878.48

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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.