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Finding the Third Proportional to 149,760 and 327,654

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Solution

The third proportional to 149,760 and 327,654 is: 716,861.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,760 : 327,654 = 327,654 : x
  2. Step 2: Convert to fraction form
    149,760/327,654 = 327,654/x
  3. Step 3: Cross multiply
    149,760x = 327,654 × 327,654
  4. Step 4: Simplify right side
    149,760x = 107,357,143,716
  5. Step 5: Solve for x
    x = 107,357,143,716/149,760
  6. Step 6: Final answer
    x = 716,861.27

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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.