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Finding the Third Proportional to 149,274 and 324,804

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Solution

The third proportional to 149,274 and 324,804 is: 706,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,274 : 324,804 = 324,804 : x
  2. Step 2: Convert to fraction form
    149,274/324,804 = 324,804/x
  3. Step 3: Cross multiply
    149,274x = 324,804 × 324,804
  4. Step 4: Simplify right side
    149,274x = 105,497,638,416
  5. Step 5: Solve for x
    x = 105,497,638,416/149,274
  6. Step 6: Final answer
    x = 706,738.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.