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Finding the Third Proportional to 137,114.25 and 208,317.75

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Solution

The third proportional to 137,114.25 and 208,317.75 is: 316,497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,114.25 : 208,317.75 = 208,317.75 : x
  2. Step 2: Convert to fraction form
    137,114.25/208,317.75 = 208,317.75/x
  3. Step 3: Cross multiply
    137,114.25x = 208,317.75 × 208,317.75
  4. Step 4: Simplify right side
    137,114.25x = 43,396,284,965.06
  5. Step 5: Solve for x
    x = 43,396,284,965.06/137,114.25
  6. Step 6: Final answer
    x = 316,497.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.