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Finding the Third Proportional to 161,706.38 and 340,169.63

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Solution

The third proportional to 161,706.38 and 340,169.63 is: 715,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,706.38 : 340,169.63 = 340,169.63 : x
  2. Step 2: Convert to fraction form
    161,706.38/340,169.63 = 340,169.63/x
  3. Step 3: Cross multiply
    161,706.38x = 340,169.63 × 340,169.63
  4. Step 4: Simplify right side
    161,706.38x = 115,715,373,772.64
  5. Step 5: Solve for x
    x = 115,715,373,772.64/161,706.38
  6. Step 6: Final answer
    x = 715,589.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.