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Finding the Third Proportional to 165,708.75 and 259,225.88

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Solution

The third proportional to 165,708.75 and 259,225.88 is: 405,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,708.75 : 259,225.88 = 259,225.88 : x
  2. Step 2: Convert to fraction form
    165,708.75/259,225.88 = 259,225.88/x
  3. Step 3: Cross multiply
    165,708.75x = 259,225.88 × 259,225.88
  4. Step 4: Simplify right side
    165,708.75x = 67,198,054,269.52
  5. Step 5: Solve for x
    x = 67,198,054,269.52/165,708.75
  6. Step 6: Final answer
    x = 405,519.05

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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.