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Finding the Third Proportional to 148,764 and 327,706

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Solution

The third proportional to 148,764 and 327,706 is: 721,889.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,764 : 327,706 = 327,706 : x
  2. Step 2: Convert to fraction form
    148,764/327,706 = 327,706/x
  3. Step 3: Cross multiply
    148,764x = 327,706 × 327,706
  4. Step 4: Simplify right side
    148,764x = 107,391,222,436
  5. Step 5: Solve for x
    x = 107,391,222,436/148,764
  6. Step 6: Final answer
    x = 721,889.86

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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.