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Finding the Third Proportional to 181,108 and 385,576

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Solution

The third proportional to 181,108 and 385,576 is: 820,885.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,108 : 385,576 = 385,576 : x
  2. Step 2: Convert to fraction form
    181,108/385,576 = 385,576/x
  3. Step 3: Cross multiply
    181,108x = 385,576 × 385,576
  4. Step 4: Simplify right side
    181,108x = 148,668,851,776
  5. Step 5: Solve for x
    x = 148,668,851,776/181,108
  6. Step 6: Final answer
    x = 820,885.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.