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Finding the Third Proportional to 195,010 and 422,004

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Solution

The third proportional to 195,010 and 422,004 is: 913,221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,010 : 422,004 = 422,004 : x
  2. Step 2: Convert to fraction form
    195,010/422,004 = 422,004/x
  3. Step 3: Cross multiply
    195,010x = 422,004 × 422,004
  4. Step 4: Simplify right side
    195,010x = 178,087,376,016
  5. Step 5: Solve for x
    x = 178,087,376,016/195,010
  6. Step 6: Final answer
    x = 913,221.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.