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Finding the Third Proportional to 194,886 and 423,063

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Solution

The third proportional to 194,886 and 423,063 is: 918,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,886 : 423,063 = 423,063 : x
  2. Step 2: Convert to fraction form
    194,886/423,063 = 423,063/x
  3. Step 3: Cross multiply
    194,886x = 423,063 × 423,063
  4. Step 4: Simplify right side
    194,886x = 178,982,301,969
  5. Step 5: Solve for x
    x = 178,982,301,969/194,886
  6. Step 6: Final answer
    x = 918,394.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.