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Finding the Third Proportional to 165,995 and 355,657

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Solution

The third proportional to 165,995 and 355,657 is: 762,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,995 : 355,657 = 355,657 : x
  2. Step 2: Convert to fraction form
    165,995/355,657 = 355,657/x
  3. Step 3: Cross multiply
    165,995x = 355,657 × 355,657
  4. Step 4: Simplify right side
    165,995x = 126,491,901,649
  5. Step 5: Solve for x
    x = 126,491,901,649/165,995
  6. Step 6: Final answer
    x = 762,022.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.