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Finding the Third Proportional to 149,967 and 325,356.75

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Solution

The third proportional to 149,967 and 325,356.75 is: 705,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,967 : 325,356.75 = 325,356.75 : x
  2. Step 2: Convert to fraction form
    149,967/325,356.75 = 325,356.75/x
  3. Step 3: Cross multiply
    149,967x = 325,356.75 × 325,356.75
  4. Step 4: Simplify right side
    149,967x = 105,857,014,770.56
  5. Step 5: Solve for x
    x = 105,857,014,770.56/149,967
  6. Step 6: Final answer
    x = 705,868.72

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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.