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Finding the Third Proportional to 194,576 and 426,058

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Solution

The third proportional to 194,576 and 426,058 is: 932,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,576 : 426,058 = 426,058 : x
  2. Step 2: Convert to fraction form
    194,576/426,058 = 426,058/x
  3. Step 3: Cross multiply
    194,576x = 426,058 × 426,058
  4. Step 4: Simplify right side
    194,576x = 181,525,419,364
  5. Step 5: Solve for x
    x = 181,525,419,364/194,576
  6. Step 6: Final answer
    x = 932,928.11

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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.