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Finding the Third Proportional to 188,655.75 and 280,419.75

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Solution

The third proportional to 188,655.75 and 280,419.75 is: 416,818.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,655.75 : 280,419.75 = 280,419.75 : x
  2. Step 2: Convert to fraction form
    188,655.75/280,419.75 = 280,419.75/x
  3. Step 3: Cross multiply
    188,655.75x = 280,419.75 × 280,419.75
  4. Step 4: Simplify right side
    188,655.75x = 78,635,236,190.06
  5. Step 5: Solve for x
    x = 78,635,236,190.06/188,655.75
  6. Step 6: Final answer
    x = 416,818.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.