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Finding the Third Proportional to 197,073 and 407,268

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Solution

The third proportional to 197,073 and 407,268 is: 841,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,073 : 407,268 = 407,268 : x
  2. Step 2: Convert to fraction form
    197,073/407,268 = 407,268/x
  3. Step 3: Cross multiply
    197,073x = 407,268 × 407,268
  4. Step 4: Simplify right side
    197,073x = 165,867,223,824
  5. Step 5: Solve for x
    x = 165,867,223,824/197,073
  6. Step 6: Final answer
    x = 841,653.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.