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Finding the Third Proportional to 149,755.50 and 325,749.94

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Solution

The third proportional to 149,755.50 and 325,749.94 is: 708,575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,755.50 : 325,749.94 = 325,749.94 : x
  2. Step 2: Convert to fraction form
    149,755.50/325,749.94 = 325,749.94/x
  3. Step 3: Cross multiply
    149,755.50x = 325,749.94 × 325,749.94
  4. Step 4: Simplify right side
    149,755.50x = 106,113,021,781.25
  5. Step 5: Solve for x
    x = 106,113,021,781.25/149,755.50
  6. Step 6: Final answer
    x = 708,575.12

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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.