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Finding the Third Proportional to 165,482 and 262,155

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Solution

The third proportional to 165,482 and 262,155 is: 415,303.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,482 : 262,155 = 262,155 : x
  2. Step 2: Convert to fraction form
    165,482/262,155 = 262,155/x
  3. Step 3: Cross multiply
    165,482x = 262,155 × 262,155
  4. Step 4: Simplify right side
    165,482x = 68,725,244,025
  5. Step 5: Solve for x
    x = 68,725,244,025/165,482
  6. Step 6: Final answer
    x = 415,303.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.