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Finding the Third Proportional to 152,302.50 and 351,020.25

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Solution

The third proportional to 152,302.50 and 351,020.25 is: 809,016.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,302.50 : 351,020.25 = 351,020.25 : x
  2. Step 2: Convert to fraction form
    152,302.50/351,020.25 = 351,020.25/x
  3. Step 3: Cross multiply
    152,302.50x = 351,020.25 × 351,020.25
  4. Step 4: Simplify right side
    152,302.50x = 123,215,215,910.06
  5. Step 5: Solve for x
    x = 123,215,215,910.06/152,302.50
  6. Step 6: Final answer
    x = 809,016.37

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.