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Finding the Third Proportional to 127,825.50 and 276,807

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Solution

The third proportional to 127,825.50 and 276,807 is: 599,427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,825.50 : 276,807 = 276,807 : x
  2. Step 2: Convert to fraction form
    127,825.50/276,807 = 276,807/x
  3. Step 3: Cross multiply
    127,825.50x = 276,807 × 276,807
  4. Step 4: Simplify right side
    127,825.50x = 76,622,115,249
  5. Step 5: Solve for x
    x = 76,622,115,249/127,825.50
  6. Step 6: Final answer
    x = 599,427.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.