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Finding the Third Proportional to 171,698.91 and 368,308.69

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Solution

The third proportional to 171,698.91 and 368,308.69 is: 790,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,698.91 : 368,308.69 = 368,308.69 : x
  2. Step 2: Convert to fraction form
    171,698.91/368,308.69 = 368,308.69/x
  3. Step 3: Cross multiply
    171,698.91x = 368,308.69 × 368,308.69
  4. Step 4: Simplify right side
    171,698.91x = 135,651,289,287.97
  5. Step 5: Solve for x
    x = 135,651,289,287.97/171,698.91
  6. Step 6: Final answer
    x = 790,053.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.