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Finding the Third Proportional to 172,292.91 and 395,458.03

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Solution

The third proportional to 172,292.91 and 395,458.03 is: 907,681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,292.91 : 395,458.03 = 395,458.03 : x
  2. Step 2: Convert to fraction form
    172,292.91/395,458.03 = 395,458.03/x
  3. Step 3: Cross multiply
    172,292.91x = 395,458.03 × 395,458.03
  4. Step 4: Simplify right side
    172,292.91x = 156,387,054,480.13
  5. Step 5: Solve for x
    x = 156,387,054,480.13/172,292.91
  6. Step 6: Final answer
    x = 907,681.33

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.