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Finding the Third Proportional to 197,370 and 300,963

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Solution

The third proportional to 197,370 and 300,963 is: 458,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,370 : 300,963 = 300,963 : x
  2. Step 2: Convert to fraction form
    197,370/300,963 = 300,963/x
  3. Step 3: Cross multiply
    197,370x = 300,963 × 300,963
  4. Step 4: Simplify right side
    197,370x = 90,578,727,369
  5. Step 5: Solve for x
    x = 90,578,727,369/197,370
  6. Step 6: Final answer
    x = 458,928.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.