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Finding the Third Proportional to 165,766.82 and 362,566.44

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Solution

The third proportional to 165,766.82 and 362,566.44 is: 793,008.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,766.82 : 362,566.44 = 362,566.44 : x
  2. Step 2: Convert to fraction form
    165,766.82/362,566.44 = 362,566.44/x
  3. Step 3: Cross multiply
    165,766.82x = 362,566.44 × 362,566.44
  4. Step 4: Simplify right side
    165,766.82x = 131,454,424,433.99
  5. Step 5: Solve for x
    x = 131,454,424,433.99/165,766.82
  6. Step 6: Final answer
    x = 793,008.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.