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Finding the Third Proportional to 170,530 and 368,276

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Solution

The third proportional to 170,530 and 368,276 is: 795,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,530 : 368,276 = 368,276 : x
  2. Step 2: Convert to fraction form
    170,530/368,276 = 368,276/x
  3. Step 3: Cross multiply
    170,530x = 368,276 × 368,276
  4. Step 4: Simplify right side
    170,530x = 135,627,212,176
  5. Step 5: Solve for x
    x = 135,627,212,176/170,530
  6. Step 6: Final answer
    x = 795,327.58

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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.