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Finding the Third Proportional to 148,718 and 327,082

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Solution

The third proportional to 148,718 and 327,082 is: 719,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,718 : 327,082 = 327,082 : x
  2. Step 2: Convert to fraction form
    148,718/327,082 = 327,082/x
  3. Step 3: Cross multiply
    148,718x = 327,082 × 327,082
  4. Step 4: Simplify right side
    148,718x = 106,982,634,724
  5. Step 5: Solve for x
    x = 106,982,634,724/148,718
  6. Step 6: Final answer
    x = 719,365.74

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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.