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Finding the Third Proportional to 149,176 and 324,322

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Solution

The third proportional to 149,176 and 324,322 is: 705,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,176 : 324,322 = 324,322 : x
  2. Step 2: Convert to fraction form
    149,176/324,322 = 324,322/x
  3. Step 3: Cross multiply
    149,176x = 324,322 × 324,322
  4. Step 4: Simplify right side
    149,176x = 105,184,759,684
  5. Step 5: Solve for x
    x = 105,184,759,684/149,176
  6. Step 6: Final answer
    x = 705,105.11

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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.