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Finding the Third Proportional to 240,309.75 and 362,310.75

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Solution

The third proportional to 240,309.75 and 362,310.75 is: 546,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,309.75 : 362,310.75 = 362,310.75 : x
  2. Step 2: Convert to fraction form
    240,309.75/362,310.75 = 362,310.75/x
  3. Step 3: Cross multiply
    240,309.75x = 362,310.75 × 362,310.75
  4. Step 4: Simplify right side
    240,309.75x = 131,269,079,565.56
  5. Step 5: Solve for x
    x = 131,269,079,565.56/240,309.75
  6. Step 6: Final answer
    x = 546,249.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.