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Finding the Third Proportional to 184,775.25 and 398,390.25

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Solution

The third proportional to 184,775.25 and 398,390.25 is: 858,961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,775.25 : 398,390.25 = 398,390.25 : x
  2. Step 2: Convert to fraction form
    184,775.25/398,390.25 = 398,390.25/x
  3. Step 3: Cross multiply
    184,775.25x = 398,390.25 × 398,390.25
  4. Step 4: Simplify right side
    184,775.25x = 158,714,791,295.06
  5. Step 5: Solve for x
    x = 158,714,791,295.06/184,775.25
  6. Step 6: Final answer
    x = 858,961.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.