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Finding the Third Proportional to 146,419.50 and 320,855.50

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Solution

The third proportional to 146,419.50 and 320,855.50 is: 703,104.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,419.50 : 320,855.50 = 320,855.50 : x
  2. Step 2: Convert to fraction form
    146,419.50/320,855.50 = 320,855.50/x
  3. Step 3: Cross multiply
    146,419.50x = 320,855.50 × 320,855.50
  4. Step 4: Simplify right side
    146,419.50x = 102,948,251,880.25
  5. Step 5: Solve for x
    x = 102,948,251,880.25/146,419.50
  6. Step 6: Final answer
    x = 703,104.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.