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Finding the Third Proportional to 165,596 and 262,398

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Solution

The third proportional to 165,596 and 262,398 is: 415,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,596 : 262,398 = 262,398 : x
  2. Step 2: Convert to fraction form
    165,596/262,398 = 262,398/x
  3. Step 3: Cross multiply
    165,596x = 262,398 × 262,398
  4. Step 4: Simplify right side
    165,596x = 68,852,710,404
  5. Step 5: Solve for x
    x = 68,852,710,404/165,596
  6. Step 6: Final answer
    x = 415,787.28

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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.