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Finding the Third Proportional to 165,485 and 255,716

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Solution

The third proportional to 165,485 and 255,716 is: 395,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,485 : 255,716 = 255,716 : x
  2. Step 2: Convert to fraction form
    165,485/255,716 = 255,716/x
  3. Step 3: Cross multiply
    165,485x = 255,716 × 255,716
  4. Step 4: Simplify right side
    165,485x = 65,390,672,656
  5. Step 5: Solve for x
    x = 65,390,672,656/165,485
  6. Step 6: Final answer
    x = 395,145.62

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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.