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Finding the Third Proportional to 148,885 and 324,539

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Solution

The third proportional to 148,885 and 324,539 is: 707,428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,885 : 324,539 = 324,539 : x
  2. Step 2: Convert to fraction form
    148,885/324,539 = 324,539/x
  3. Step 3: Cross multiply
    148,885x = 324,539 × 324,539
  4. Step 4: Simplify right side
    148,885x = 105,325,562,521
  5. Step 5: Solve for x
    x = 105,325,562,521/148,885
  6. Step 6: Final answer
    x = 707,428.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.