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Finding the Third Proportional to 148,038 and 324,189

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Solution

The third proportional to 148,038 and 324,189 is: 709,942.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,038 : 324,189 = 324,189 : x
  2. Step 2: Convert to fraction form
    148,038/324,189 = 324,189/x
  3. Step 3: Cross multiply
    148,038x = 324,189 × 324,189
  4. Step 4: Simplify right side
    148,038x = 105,098,507,721
  5. Step 5: Solve for x
    x = 105,098,507,721/148,038
  6. Step 6: Final answer
    x = 709,942.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.