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Finding the Third Proportional to 197,008 and 422,048

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Solution

The third proportional to 197,008 and 422,048 is: 904,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,008 : 422,048 = 422,048 : x
  2. Step 2: Convert to fraction form
    197,008/422,048 = 422,048/x
  3. Step 3: Cross multiply
    197,008x = 422,048 × 422,048
  4. Step 4: Simplify right side
    197,008x = 178,124,514,304
  5. Step 5: Solve for x
    x = 178,124,514,304/197,008
  6. Step 6: Final answer
    x = 904,148.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.