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Finding the Third Proportional to 194,889.16 and 291,539.25

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Solution

The third proportional to 194,889.16 and 291,539.25 is: 436,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,889.16 : 291,539.25 = 291,539.25 : x
  2. Step 2: Convert to fraction form
    194,889.16/291,539.25 = 291,539.25/x
  3. Step 3: Cross multiply
    194,889.16x = 291,539.25 × 291,539.25
  4. Step 4: Simplify right side
    194,889.16x = 84,995,134,290.56
  5. Step 5: Solve for x
    x = 84,995,134,290.56/194,889.16
  6. Step 6: Final answer
    x = 436,120.37

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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.