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Finding the Third Proportional to 181,912 and 371,222

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Solution

The third proportional to 181,912 and 371,222 is: 757,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,912 : 371,222 = 371,222 : x
  2. Step 2: Convert to fraction form
    181,912/371,222 = 371,222/x
  3. Step 3: Cross multiply
    181,912x = 371,222 × 371,222
  4. Step 4: Simplify right side
    181,912x = 137,805,773,284
  5. Step 5: Solve for x
    x = 137,805,773,284/181,912
  6. Step 6: Final answer
    x = 757,540.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.