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Finding the Third Proportional to 167,922.75 and 354,797.25

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Solution

The third proportional to 167,922.75 and 354,797.25 is: 749,636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,922.75 : 354,797.25 = 354,797.25 : x
  2. Step 2: Convert to fraction form
    167,922.75/354,797.25 = 354,797.25/x
  3. Step 3: Cross multiply
    167,922.75x = 354,797.25 × 354,797.25
  4. Step 4: Simplify right side
    167,922.75x = 125,881,088,607.56
  5. Step 5: Solve for x
    x = 125,881,088,607.56/167,922.75
  6. Step 6: Final answer
    x = 749,636.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.