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Finding the Third Proportional to 197,480 and 297,958

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Solution

The third proportional to 197,480 and 297,958 is: 449,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,480 : 297,958 = 297,958 : x
  2. Step 2: Convert to fraction form
    197,480/297,958 = 297,958/x
  3. Step 3: Cross multiply
    197,480x = 297,958 × 297,958
  4. Step 4: Simplify right side
    197,480x = 88,778,969,764
  5. Step 5: Solve for x
    x = 88,778,969,764/197,480
  6. Step 6: Final answer
    x = 449,559.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.