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Finding the Third Proportional to 194,922 and 423,132

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Solution

The third proportional to 194,922 and 423,132 is: 918,524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,922 : 423,132 = 423,132 : x
  2. Step 2: Convert to fraction form
    194,922/423,132 = 423,132/x
  3. Step 3: Cross multiply
    194,922x = 423,132 × 423,132
  4. Step 4: Simplify right side
    194,922x = 179,040,689,424
  5. Step 5: Solve for x
    x = 179,040,689,424/194,922
  6. Step 6: Final answer
    x = 918,524.79

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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.