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Finding the Third Proportional to 181,305 and 384,220.50

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Solution

The third proportional to 181,305 and 384,220.50 is: 814,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,305 : 384,220.50 = 384,220.50 : x
  2. Step 2: Convert to fraction form
    181,305/384,220.50 = 384,220.50/x
  3. Step 3: Cross multiply
    181,305x = 384,220.50 × 384,220.50
  4. Step 4: Simplify right side
    181,305x = 147,625,392,620.25
  5. Step 5: Solve for x
    x = 147,625,392,620.25/181,305
  6. Step 6: Final answer
    x = 814,237.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.