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Finding the Third Proportional to 165,432 and 263,496

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Solution

The third proportional to 165,432 and 263,496 is: 419,689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,432 : 263,496 = 263,496 : x
  2. Step 2: Convert to fraction form
    165,432/263,496 = 263,496/x
  3. Step 3: Cross multiply
    165,432x = 263,496 × 263,496
  4. Step 4: Simplify right side
    165,432x = 69,430,142,016
  5. Step 5: Solve for x
    x = 69,430,142,016/165,432
  6. Step 6: Final answer
    x = 419,689.91

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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.