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Finding the Third Proportional to 118,215 and 181,698

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Solution

The third proportional to 118,215 and 181,698 is: 279,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,215 : 181,698 = 181,698 : x
  2. Step 2: Convert to fraction form
    118,215/181,698 = 181,698/x
  3. Step 3: Cross multiply
    118,215x = 181,698 × 181,698
  4. Step 4: Simplify right side
    118,215x = 33,014,163,204
  5. Step 5: Solve for x
    x = 33,014,163,204/118,215
  6. Step 6: Final answer
    x = 279,272.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.