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Finding the Third Proportional to 165,632 and 262,400

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Solution

The third proportional to 165,632 and 262,400 is: 415,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,632 : 262,400 = 262,400 : x
  2. Step 2: Convert to fraction form
    165,632/262,400 = 262,400/x
  3. Step 3: Cross multiply
    165,632x = 262,400 × 262,400
  4. Step 4: Simplify right side
    165,632x = 68,853,760,000
  5. Step 5: Solve for x
    x = 68,853,760,000/165,632
  6. Step 6: Final answer
    x = 415,703.25

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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.