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Finding the Third Proportional to 182,765.25 and 407,554

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Solution

The third proportional to 182,765.25 and 407,554 is: 908,817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,765.25 : 407,554 = 407,554 : x
  2. Step 2: Convert to fraction form
    182,765.25/407,554 = 407,554/x
  3. Step 3: Cross multiply
    182,765.25x = 407,554 × 407,554
  4. Step 4: Simplify right side
    182,765.25x = 166,100,262,916
  5. Step 5: Solve for x
    x = 166,100,262,916/182,765.25
  6. Step 6: Final answer
    x = 908,817.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.