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Finding the Third Proportional to 86,240.25 and 185,595.75

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Solution

The third proportional to 86,240.25 and 185,595.75 is: 399,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,240.25 : 185,595.75 = 185,595.75 : x
  2. Step 2: Convert to fraction form
    86,240.25/185,595.75 = 185,595.75/x
  3. Step 3: Cross multiply
    86,240.25x = 185,595.75 × 185,595.75
  4. Step 4: Simplify right side
    86,240.25x = 34,445,782,418.06
  5. Step 5: Solve for x
    x = 34,445,782,418.06/86,240.25
  6. Step 6: Final answer
    x = 399,416.54

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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.