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Finding the Third Proportional to 165,676 and 263,490

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Solution

The third proportional to 165,676 and 263,490 is: 419,052.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,676 : 263,490 = 263,490 : x
  2. Step 2: Convert to fraction form
    165,676/263,490 = 263,490/x
  3. Step 3: Cross multiply
    165,676x = 263,490 × 263,490
  4. Step 4: Simplify right side
    165,676x = 69,426,980,100
  5. Step 5: Solve for x
    x = 69,426,980,100/165,676
  6. Step 6: Final answer
    x = 419,052.73

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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.