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Finding the Third Proportional to 194,058 and 424,182

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Solution

The third proportional to 194,058 and 424,182 is: 927,198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,058 : 424,182 = 424,182 : x
  2. Step 2: Convert to fraction form
    194,058/424,182 = 424,182/x
  3. Step 3: Cross multiply
    194,058x = 424,182 × 424,182
  4. Step 4: Simplify right side
    194,058x = 179,930,369,124
  5. Step 5: Solve for x
    x = 179,930,369,124/194,058
  6. Step 6: Final answer
    x = 927,198.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.