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Finding the Third Proportional to 193,868 and 418,288

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Solution

The third proportional to 193,868 and 418,288 is: 902,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,868 : 418,288 = 418,288 : x
  2. Step 2: Convert to fraction form
    193,868/418,288 = 418,288/x
  3. Step 3: Cross multiply
    193,868x = 418,288 × 418,288
  4. Step 4: Simplify right side
    193,868x = 174,964,850,944
  5. Step 5: Solve for x
    x = 174,964,850,944/193,868
  6. Step 6: Final answer
    x = 902,494.74

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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.