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Finding the Third Proportional to 148,821.05 and 327,271.64

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Solution

The third proportional to 148,821.05 and 327,271.64 is: 719,701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,821.05 : 327,271.64 = 327,271.64 : x
  2. Step 2: Convert to fraction form
    148,821.05/327,271.64 = 327,271.64/x
  3. Step 3: Cross multiply
    148,821.05x = 327,271.64 × 327,271.64
  4. Step 4: Simplify right side
    148,821.05x = 107,106,726,757.38
  5. Step 5: Solve for x
    x = 107,106,726,757.38/148,821.05
  6. Step 6: Final answer
    x = 719,701.47

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Why These Related Problems?

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