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Finding the Third Proportional to 151,965 and 325,962

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Solution

The third proportional to 151,965 and 325,962 is: 699,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,965 : 325,962 = 325,962 : x
  2. Step 2: Convert to fraction form
    151,965/325,962 = 325,962/x
  3. Step 3: Cross multiply
    151,965x = 325,962 × 325,962
  4. Step 4: Simplify right side
    151,965x = 106,251,225,444
  5. Step 5: Solve for x
    x = 106,251,225,444/151,965
  6. Step 6: Final answer
    x = 699,182.22

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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.