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Finding the Third Proportional to 167,208 and 357,424

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Solution

The third proportional to 167,208 and 357,424 is: 764,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,208 : 357,424 = 357,424 : x
  2. Step 2: Convert to fraction form
    167,208/357,424 = 357,424/x
  3. Step 3: Cross multiply
    167,208x = 357,424 × 357,424
  4. Step 4: Simplify right side
    167,208x = 127,751,915,776
  5. Step 5: Solve for x
    x = 127,751,915,776/167,208
  6. Step 6: Final answer
    x = 764,029.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.