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Finding the Third Proportional to 165,566 and 253,493

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Solution

The third proportional to 165,566 and 253,493 is: 388,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,566 : 253,493 = 253,493 : x
  2. Step 2: Convert to fraction form
    165,566/253,493 = 253,493/x
  3. Step 3: Cross multiply
    165,566x = 253,493 × 253,493
  4. Step 4: Simplify right side
    165,566x = 64,258,701,049
  5. Step 5: Solve for x
    x = 64,258,701,049/165,566
  6. Step 6: Final answer
    x = 388,115.32

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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.