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Finding the Third Proportional to 165,491 and 255,726

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Solution

The third proportional to 165,491 and 255,726 is: 395,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,491 : 255,726 = 255,726 : x
  2. Step 2: Convert to fraction form
    165,491/255,726 = 255,726/x
  3. Step 3: Cross multiply
    165,491x = 255,726 × 255,726
  4. Step 4: Simplify right side
    165,491x = 65,395,787,076
  5. Step 5: Solve for x
    x = 65,395,787,076/165,491
  6. Step 6: Final answer
    x = 395,162.20

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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.