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Finding the Third Proportional to 254,249.50 and 345,302.75

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Solution

The third proportional to 254,249.50 and 345,302.75 is: 468,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,249.50 : 345,302.75 = 345,302.75 : x
  2. Step 2: Convert to fraction form
    254,249.50/345,302.75 = 345,302.75/x
  3. Step 3: Cross multiply
    254,249.50x = 345,302.75 × 345,302.75
  4. Step 4: Simplify right side
    254,249.50x = 119,233,989,157.56
  5. Step 5: Solve for x
    x = 119,233,989,157.56/254,249.50
  6. Step 6: Final answer
    x = 468,964.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.