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Finding the Third Proportional to 197,368 and 300,966

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Solution

The third proportional to 197,368 and 300,966 is: 458,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,368 : 300,966 = 300,966 : x
  2. Step 2: Convert to fraction form
    197,368/300,966 = 300,966/x
  3. Step 3: Cross multiply
    197,368x = 300,966 × 300,966
  4. Step 4: Simplify right side
    197,368x = 90,580,533,156
  5. Step 5: Solve for x
    x = 90,580,533,156/197,368
  6. Step 6: Final answer
    x = 458,942.35

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