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Finding the Third Proportional to 165,002.25 and 257,358.75

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Solution

The third proportional to 165,002.25 and 257,358.75 is: 401,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,002.25 : 257,358.75 = 257,358.75 : x
  2. Step 2: Convert to fraction form
    165,002.25/257,358.75 = 257,358.75/x
  3. Step 3: Cross multiply
    165,002.25x = 257,358.75 × 257,358.75
  4. Step 4: Simplify right side
    165,002.25x = 66,233,526,201.56
  5. Step 5: Solve for x
    x = 66,233,526,201.56/165,002.25
  6. Step 6: Final answer
    x = 401,409.84

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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.