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Finding the Third Proportional to 165,764 and 262,892

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Solution

The third proportional to 165,764 and 262,892 is: 416,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,764 : 262,892 = 262,892 : x
  2. Step 2: Convert to fraction form
    165,764/262,892 = 262,892/x
  3. Step 3: Cross multiply
    165,764x = 262,892 × 262,892
  4. Step 4: Simplify right side
    165,764x = 69,112,203,664
  5. Step 5: Solve for x
    x = 69,112,203,664/165,764
  6. Step 6: Final answer
    x = 416,931.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.