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Finding the Third Proportional to 174,496.50 and 279,965.25

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Solution

The third proportional to 174,496.50 and 279,965.25 is: 449,181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,496.50 : 279,965.25 = 279,965.25 : x
  2. Step 2: Convert to fraction form
    174,496.50/279,965.25 = 279,965.25/x
  3. Step 3: Cross multiply
    174,496.50x = 279,965.25 × 279,965.25
  4. Step 4: Simplify right side
    174,496.50x = 78,380,541,207.56
  5. Step 5: Solve for x
    x = 78,380,541,207.56/174,496.50
  6. Step 6: Final answer
    x = 449,181.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.