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Finding the Third Proportional to 240,993.25 and 529,269

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Solution

The third proportional to 240,993.25 and 529,269 is: 1,162,379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,993.25 : 529,269 = 529,269 : x
  2. Step 2: Convert to fraction form
    240,993.25/529,269 = 529,269/x
  3. Step 3: Cross multiply
    240,993.25x = 529,269 × 529,269
  4. Step 4: Simplify right side
    240,993.25x = 280,125,674,361
  5. Step 5: Solve for x
    x = 280,125,674,361/240,993.25
  6. Step 6: Final answer
    x = 1,162,379.75

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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.