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Finding the Third Proportional to 116,678.81 and 254,474.44

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Solution

The third proportional to 116,678.81 and 254,474.44 is: 555,004.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,678.81 : 254,474.44 = 254,474.44 : x
  2. Step 2: Convert to fraction form
    116,678.81/254,474.44 = 254,474.44/x
  3. Step 3: Cross multiply
    116,678.81x = 254,474.44 × 254,474.44
  4. Step 4: Simplify right side
    116,678.81x = 64,757,239,340.94
  5. Step 5: Solve for x
    x = 64,757,239,340.94/116,678.81
  6. Step 6: Final answer
    x = 555,004.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.