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Finding the Third Proportional to 254,324.25 and 393,178.50

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Solution

The third proportional to 254,324.25 and 393,178.50 is: 607,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,324.25 : 393,178.50 = 393,178.50 : x
  2. Step 2: Convert to fraction form
    254,324.25/393,178.50 = 393,178.50/x
  3. Step 3: Cross multiply
    254,324.25x = 393,178.50 × 393,178.50
  4. Step 4: Simplify right side
    254,324.25x = 154,589,332,862.25
  5. Step 5: Solve for x
    x = 154,589,332,862.25/254,324.25
  6. Step 6: Final answer
    x = 607,843.46

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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.