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Finding the Third Proportional to 183,246.75 and 397,827

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Solution

The third proportional to 183,246.75 and 397,827 is: 863,678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,246.75 : 397,827 = 397,827 : x
  2. Step 2: Convert to fraction form
    183,246.75/397,827 = 397,827/x
  3. Step 3: Cross multiply
    183,246.75x = 397,827 × 397,827
  4. Step 4: Simplify right side
    183,246.75x = 158,266,321,929
  5. Step 5: Solve for x
    x = 158,266,321,929/183,246.75
  6. Step 6: Final answer
    x = 863,678.74

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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.