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Finding the Third Proportional to 148,719 and 327,084

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Solution

The third proportional to 148,719 and 327,084 is: 719,369.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,719 : 327,084 = 327,084 : x
  2. Step 2: Convert to fraction form
    148,719/327,084 = 327,084/x
  3. Step 3: Cross multiply
    148,719x = 327,084 × 327,084
  4. Step 4: Simplify right side
    148,719x = 106,983,943,056
  5. Step 5: Solve for x
    x = 106,983,943,056/148,719
  6. Step 6: Final answer
    x = 719,369.70

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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.