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Finding the Third Proportional to 182,121.50 and 275,722.25

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Solution

The third proportional to 182,121.50 and 275,722.25 is: 417,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,121.50 : 275,722.25 = 275,722.25 : x
  2. Step 2: Convert to fraction form
    182,121.50/275,722.25 = 275,722.25/x
  3. Step 3: Cross multiply
    182,121.50x = 275,722.25 × 275,722.25
  4. Step 4: Simplify right side
    182,121.50x = 76,022,759,145.06
  5. Step 5: Solve for x
    x = 76,022,759,145.06/182,121.50
  6. Step 6: Final answer
    x = 417,428.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.