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Finding the Third Proportional to 165,370.50 and 262,199.25

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Solution

The third proportional to 165,370.50 and 262,199.25 is: 415,723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,370.50 : 262,199.25 = 262,199.25 : x
  2. Step 2: Convert to fraction form
    165,370.50/262,199.25 = 262,199.25/x
  3. Step 3: Cross multiply
    165,370.50x = 262,199.25 × 262,199.25
  4. Step 4: Simplify right side
    165,370.50x = 68,748,446,700.56
  5. Step 5: Solve for x
    x = 68,748,446,700.56/165,370.50
  6. Step 6: Final answer
    x = 415,723.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.