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Finding the Third Proportional to 165,762 and 361,886

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Solution

The third proportional to 165,762 and 361,886 is: 790,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,762 : 361,886 = 361,886 : x
  2. Step 2: Convert to fraction form
    165,762/361,886 = 361,886/x
  3. Step 3: Cross multiply
    165,762x = 361,886 × 361,886
  4. Step 4: Simplify right side
    165,762x = 130,961,476,996
  5. Step 5: Solve for x
    x = 130,961,476,996/165,762
  6. Step 6: Final answer
    x = 790,057.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.