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Finding the Third Proportional to 165,560 and 253,676

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Solution

The third proportional to 165,560 and 253,676 is: 388,689.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,560 : 253,676 = 253,676 : x
  2. Step 2: Convert to fraction form
    165,560/253,676 = 253,676/x
  3. Step 3: Cross multiply
    165,560x = 253,676 × 253,676
  4. Step 4: Simplify right side
    165,560x = 64,351,512,976
  5. Step 5: Solve for x
    x = 64,351,512,976/165,560
  6. Step 6: Final answer
    x = 388,689.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.