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Finding the Third Proportional to 84,854.25 and 167,567.25

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Solution

The third proportional to 84,854.25 and 167,567.25 is: 330,906.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,854.25 : 167,567.25 = 167,567.25 : x
  2. Step 2: Convert to fraction form
    84,854.25/167,567.25 = 167,567.25/x
  3. Step 3: Cross multiply
    84,854.25x = 167,567.25 × 167,567.25
  4. Step 4: Simplify right side
    84,854.25x = 28,078,783,272.56
  5. Step 5: Solve for x
    x = 28,078,783,272.56/84,854.25
  6. Step 6: Final answer
    x = 330,906.03

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.