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Finding the Third Proportional to 169,257.38 and 407,817

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Solution

The third proportional to 169,257.38 and 407,817 is: 982,614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,257.38 : 407,817 = 407,817 : x
  2. Step 2: Convert to fraction form
    169,257.38/407,817 = 407,817/x
  3. Step 3: Cross multiply
    169,257.38x = 407,817 × 407,817
  4. Step 4: Simplify right side
    169,257.38x = 166,314,705,489
  5. Step 5: Solve for x
    x = 166,314,705,489/169,257.38
  6. Step 6: Final answer
    x = 982,614.23

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.