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Finding the Third Proportional to 165,798 and 262,932

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Solution

The third proportional to 165,798 and 262,932 is: 416,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,798 : 262,932 = 262,932 : x
  2. Step 2: Convert to fraction form
    165,798/262,932 = 262,932/x
  3. Step 3: Cross multiply
    165,798x = 262,932 × 262,932
  4. Step 4: Simplify right side
    165,798x = 69,133,236,624
  5. Step 5: Solve for x
    x = 69,133,236,624/165,798
  6. Step 6: Final answer
    x = 416,972.68

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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.