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Finding the Third Proportional to 148,772 and 327,724

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Solution

The third proportional to 148,772 and 327,724 is: 721,930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,772 : 327,724 = 327,724 : x
  2. Step 2: Convert to fraction form
    148,772/327,724 = 327,724/x
  3. Step 3: Cross multiply
    148,772x = 327,724 × 327,724
  4. Step 4: Simplify right side
    148,772x = 107,403,020,176
  5. Step 5: Solve for x
    x = 107,403,020,176/148,772
  6. Step 6: Final answer
    x = 721,930.34

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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.