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Finding the Third Proportional to 165,328 and 254,450

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Solution

The third proportional to 165,328 and 254,450 is: 391,614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,328 : 254,450 = 254,450 : x
  2. Step 2: Convert to fraction form
    165,328/254,450 = 254,450/x
  3. Step 3: Cross multiply
    165,328x = 254,450 × 254,450
  4. Step 4: Simplify right side
    165,328x = 64,744,802,500
  5. Step 5: Solve for x
    x = 64,744,802,500/165,328
  6. Step 6: Final answer
    x = 391,614.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.