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Finding the Third Proportional to 194,080.50 and 291,768.75

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Solution

The third proportional to 194,080.50 and 291,768.75 is: 438,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,080.50 : 291,768.75 = 291,768.75 : x
  2. Step 2: Convert to fraction form
    194,080.50/291,768.75 = 291,768.75/x
  3. Step 3: Cross multiply
    194,080.50x = 291,768.75 × 291,768.75
  4. Step 4: Simplify right side
    194,080.50x = 85,129,003,476.56
  5. Step 5: Solve for x
    x = 85,129,003,476.56/194,080.50
  6. Step 6: Final answer
    x = 438,627.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.