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Finding the Third Proportional to 148,646 and 326,812

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Solution

The third proportional to 148,646 and 326,812 is: 718,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,646 : 326,812 = 326,812 : x
  2. Step 2: Convert to fraction form
    148,646/326,812 = 326,812/x
  3. Step 3: Cross multiply
    148,646x = 326,812 × 326,812
  4. Step 4: Simplify right side
    148,646x = 106,806,083,344
  5. Step 5: Solve for x
    x = 106,806,083,344/148,646
  6. Step 6: Final answer
    x = 718,526.45

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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.