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Finding the Third Proportional to 260,255.53 and 354,553.88

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Solution

The third proportional to 260,255.53 and 354,553.88 is: 483,019.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,255.53 : 354,553.88 = 354,553.88 : x
  2. Step 2: Convert to fraction form
    260,255.53/354,553.88 = 354,553.88/x
  3. Step 3: Cross multiply
    260,255.53x = 354,553.88 × 354,553.88
  4. Step 4: Simplify right side
    260,255.53x = 125,708,450,277.52
  5. Step 5: Solve for x
    x = 125,708,450,277.52/260,255.53
  6. Step 6: Final answer
    x = 483,019.32

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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.