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Finding the Third Proportional to 167,290 and 368,276

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Solution

The third proportional to 167,290 and 368,276 is: 810,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,290 : 368,276 = 368,276 : x
  2. Step 2: Convert to fraction form
    167,290/368,276 = 368,276/x
  3. Step 3: Cross multiply
    167,290x = 368,276 × 368,276
  4. Step 4: Simplify right side
    167,290x = 135,627,212,176
  5. Step 5: Solve for x
    x = 135,627,212,176/167,290
  6. Step 6: Final answer
    x = 810,731.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.