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Finding the Third Proportional to 149,999.25 and 316,860

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Solution

The third proportional to 149,999.25 and 316,860 is: 669,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,999.25 : 316,860 = 316,860 : x
  2. Step 2: Convert to fraction form
    149,999.25/316,860 = 316,860/x
  3. Step 3: Cross multiply
    149,999.25x = 316,860 × 316,860
  4. Step 4: Simplify right side
    149,999.25x = 100,400,259,600
  5. Step 5: Solve for x
    x = 100,400,259,600/149,999.25
  6. Step 6: Final answer
    x = 669,338.41

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.