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Finding the Third Proportional to 194,163 and 423,462

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Solution

The third proportional to 194,163 and 423,462 is: 923,554.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,163 : 423,462 = 423,462 : x
  2. Step 2: Convert to fraction form
    194,163/423,462 = 423,462/x
  3. Step 3: Cross multiply
    194,163x = 423,462 × 423,462
  4. Step 4: Simplify right side
    194,163x = 179,320,065,444
  5. Step 5: Solve for x
    x = 179,320,065,444/194,163
  6. Step 6: Final answer
    x = 923,554.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.