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Finding the Third Proportional to 165,546 and 253,656

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Solution

The third proportional to 165,546 and 253,656 is: 388,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,546 : 253,656 = 253,656 : x
  2. Step 2: Convert to fraction form
    165,546/253,656 = 253,656/x
  3. Step 3: Cross multiply
    165,546x = 253,656 × 253,656
  4. Step 4: Simplify right side
    165,546x = 64,341,366,336
  5. Step 5: Solve for x
    x = 64,341,366,336/165,546
  6. Step 6: Final answer
    x = 388,661.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.