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Finding the Third Proportional to 181,770.75 and 400,173.75

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Solution

The third proportional to 181,770.75 and 400,173.75 is: 880,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,770.75 : 400,173.75 = 400,173.75 : x
  2. Step 2: Convert to fraction form
    181,770.75/400,173.75 = 400,173.75/x
  3. Step 3: Cross multiply
    181,770.75x = 400,173.75 × 400,173.75
  4. Step 4: Simplify right side
    181,770.75x = 160,139,030,189.06
  5. Step 5: Solve for x
    x = 160,139,030,189.06/181,770.75
  6. Step 6: Final answer
    x = 880,994.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.