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Finding the Third Proportional to 127,804.35 and 276,908.23

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Solution

The third proportional to 127,804.35 and 276,908.23 is: 599,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,804.35 : 276,908.23 = 276,908.23 : x
  2. Step 2: Convert to fraction form
    127,804.35/276,908.23 = 276,908.23/x
  3. Step 3: Cross multiply
    127,804.35x = 276,908.23 × 276,908.23
  4. Step 4: Simplify right side
    127,804.35x = 76,678,167,560.49
  5. Step 5: Solve for x
    x = 76,678,167,560.49/127,804.35
  6. Step 6: Final answer
    x = 599,965.22

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