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Finding the Third Proportional to 193,702 and 418,004

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Solution

The third proportional to 193,702 and 418,004 is: 902,042.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,702 : 418,004 = 418,004 : x
  2. Step 2: Convert to fraction form
    193,702/418,004 = 418,004/x
  3. Step 3: Cross multiply
    193,702x = 418,004 × 418,004
  4. Step 4: Simplify right side
    193,702x = 174,727,344,016
  5. Step 5: Solve for x
    x = 174,727,344,016/193,702
  6. Step 6: Final answer
    x = 902,042.02

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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.