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Finding the Third Proportional to 171,796.97 and 366,410.07

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Solution

The third proportional to 171,796.97 and 366,410.07 is: 781,482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,796.97 : 366,410.07 = 366,410.07 : x
  2. Step 2: Convert to fraction form
    171,796.97/366,410.07 = 366,410.07/x
  3. Step 3: Cross multiply
    171,796.97x = 366,410.07 × 366,410.07
  4. Step 4: Simplify right side
    171,796.97x = 134,256,336,048.18
  5. Step 5: Solve for x
    x = 134,256,336,048.18/171,796.97
  6. Step 6: Final answer
    x = 781,482.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.