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Finding the Third Proportional to 165,969 and 257,418

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Solution

The third proportional to 165,969 and 257,418 is: 399,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,969 : 257,418 = 257,418 : x
  2. Step 2: Convert to fraction form
    165,969/257,418 = 257,418/x
  3. Step 3: Cross multiply
    165,969x = 257,418 × 257,418
  4. Step 4: Simplify right side
    165,969x = 66,264,026,724
  5. Step 5: Solve for x
    x = 66,264,026,724/165,969
  6. Step 6: Final answer
    x = 399,255.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.