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Finding the Third Proportional to 193,656 and 417,903

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Solution

The third proportional to 193,656 and 417,903 is: 901,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,656 : 417,903 = 417,903 : x
  2. Step 2: Convert to fraction form
    193,656/417,903 = 417,903/x
  3. Step 3: Cross multiply
    193,656x = 417,903 × 417,903
  4. Step 4: Simplify right side
    193,656x = 174,642,917,409
  5. Step 5: Solve for x
    x = 174,642,917,409/193,656
  6. Step 6: Final answer
    x = 901,820.33

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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.