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Finding the Third Proportional to 80,503.50 and 176,943

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Solution

The third proportional to 80,503.50 and 176,943 is: 388,912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,503.50 : 176,943 = 176,943 : x
  2. Step 2: Convert to fraction form
    80,503.50/176,943 = 176,943/x
  3. Step 3: Cross multiply
    80,503.50x = 176,943 × 176,943
  4. Step 4: Simplify right side
    80,503.50x = 31,308,825,249
  5. Step 5: Solve for x
    x = 31,308,825,249/80,503.50
  6. Step 6: Final answer
    x = 388,912.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.