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Finding the Third Proportional to 165,244.50 and 340,269.75

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Solution

The third proportional to 165,244.50 and 340,269.75 is: 700,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,244.50 : 340,269.75 = 340,269.75 : x
  2. Step 2: Convert to fraction form
    165,244.50/340,269.75 = 340,269.75/x
  3. Step 3: Cross multiply
    165,244.50x = 340,269.75 × 340,269.75
  4. Step 4: Simplify right side
    165,244.50x = 115,783,502,765.06
  5. Step 5: Solve for x
    x = 115,783,502,765.06/165,244.50
  6. Step 6: Final answer
    x = 700,679.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.