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Finding the Third Proportional to 165,688.75 and 259,194.50

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Solution

The third proportional to 165,688.75 and 259,194.50 is: 405,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,688.75 : 259,194.50 = 259,194.50 : x
  2. Step 2: Convert to fraction form
    165,688.75/259,194.50 = 259,194.50/x
  3. Step 3: Cross multiply
    165,688.75x = 259,194.50 × 259,194.50
  4. Step 4: Simplify right side
    165,688.75x = 67,181,788,830.25
  5. Step 5: Solve for x
    x = 67,181,788,830.25/165,688.75
  6. Step 6: Final answer
    x = 405,469.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.