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Finding the Third Proportional to 148,768 and 327,020

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Solution

The third proportional to 148,768 and 327,020 is: 718,851.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,768 : 327,020 = 327,020 : x
  2. Step 2: Convert to fraction form
    148,768/327,020 = 327,020/x
  3. Step 3: Cross multiply
    148,768x = 327,020 × 327,020
  4. Step 4: Simplify right side
    148,768x = 106,942,080,400
  5. Step 5: Solve for x
    x = 106,942,080,400/148,768
  6. Step 6: Final answer
    x = 718,851.37

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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.