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Finding the Third Proportional to 137,832.75 and 206,805.25

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Solution

The third proportional to 137,832.75 and 206,805.25 is: 310,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,832.75 : 206,805.25 = 206,805.25 : x
  2. Step 2: Convert to fraction form
    137,832.75/206,805.25 = 206,805.25/x
  3. Step 3: Cross multiply
    137,832.75x = 206,805.25 × 206,805.25
  4. Step 4: Simplify right side
    137,832.75x = 42,768,411,427.56
  5. Step 5: Solve for x
    x = 42,768,411,427.56/137,832.75
  6. Step 6: Final answer
    x = 310,292.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.