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Finding the Third Proportional to 149,670 and 325,175

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Solution

The third proportional to 149,670 and 325,175 is: 706,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,670 : 325,175 = 325,175 : x
  2. Step 2: Convert to fraction form
    149,670/325,175 = 325,175/x
  3. Step 3: Cross multiply
    149,670x = 325,175 × 325,175
  4. Step 4: Simplify right side
    149,670x = 105,738,780,625
  5. Step 5: Solve for x
    x = 105,738,780,625/149,670
  6. Step 6: Final answer
    x = 706,479.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.