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Finding the Third Proportional to 254,350.50 and 393,659.50

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Solution

The third proportional to 254,350.50 and 393,659.50 is: 609,268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,350.50 : 393,659.50 = 393,659.50 : x
  2. Step 2: Convert to fraction form
    254,350.50/393,659.50 = 393,659.50/x
  3. Step 3: Cross multiply
    254,350.50x = 393,659.50 × 393,659.50
  4. Step 4: Simplify right side
    254,350.50x = 154,967,801,940.25
  5. Step 5: Solve for x
    x = 154,967,801,940.25/254,350.50
  6. Step 6: Final answer
    x = 609,268.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.