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Finding the Third Proportional to 156,071.25 and 335,814.75

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Solution

The third proportional to 156,071.25 and 335,814.75 is: 722,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,071.25 : 335,814.75 = 335,814.75 : x
  2. Step 2: Convert to fraction form
    156,071.25/335,814.75 = 335,814.75/x
  3. Step 3: Cross multiply
    156,071.25x = 335,814.75 × 335,814.75
  4. Step 4: Simplify right side
    156,071.25x = 112,771,546,317.56
  5. Step 5: Solve for x
    x = 112,771,546,317.56/156,071.25
  6. Step 6: Final answer
    x = 722,564.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.