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Finding the Third Proportional to 151,016 and 325,675

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Solution

The third proportional to 151,016 and 325,675 is: 702,337.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,016 : 325,675 = 325,675 : x
  2. Step 2: Convert to fraction form
    151,016/325,675 = 325,675/x
  3. Step 3: Cross multiply
    151,016x = 325,675 × 325,675
  4. Step 4: Simplify right side
    151,016x = 106,064,205,625
  5. Step 5: Solve for x
    x = 106,064,205,625/151,016
  6. Step 6: Final answer
    x = 702,337.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.