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Finding the Third Proportional to 80,203.50 and 174,066.75

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Solution

The third proportional to 80,203.50 and 174,066.75 is: 377,779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,203.50 : 174,066.75 = 174,066.75 : x
  2. Step 2: Convert to fraction form
    80,203.50/174,066.75 = 174,066.75/x
  3. Step 3: Cross multiply
    80,203.50x = 174,066.75 × 174,066.75
  4. Step 4: Simplify right side
    80,203.50x = 30,299,233,455.56
  5. Step 5: Solve for x
    x = 30,299,233,455.56/80,203.50
  6. Step 6: Final answer
    x = 377,779.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.