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Finding the Third Proportional to 76,370 and 167,284

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Solution

The third proportional to 76,370 and 167,284 is: 366,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,370 : 167,284 = 167,284 : x
  2. Step 2: Convert to fraction form
    76,370/167,284 = 167,284/x
  3. Step 3: Cross multiply
    76,370x = 167,284 × 167,284
  4. Step 4: Simplify right side
    76,370x = 27,983,936,656
  5. Step 5: Solve for x
    x = 27,983,936,656/76,370
  6. Step 6: Final answer
    x = 366,425.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.