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Finding the Third Proportional to 165,756 and 245,526

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Solution

The third proportional to 165,756 and 245,526 is: 363,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,756 : 245,526 = 245,526 : x
  2. Step 2: Convert to fraction form
    165,756/245,526 = 245,526/x
  3. Step 3: Cross multiply
    165,756x = 245,526 × 245,526
  4. Step 4: Simplify right side
    165,756x = 60,283,016,676
  5. Step 5: Solve for x
    x = 60,283,016,676/165,756
  6. Step 6: Final answer
    x = 363,685.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.