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Finding the Third Proportional to 165,757 and 361,875

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Solution

The third proportional to 165,757 and 361,875 is: 790,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,757 : 361,875 = 361,875 : x
  2. Step 2: Convert to fraction form
    165,757/361,875 = 361,875/x
  3. Step 3: Cross multiply
    165,757x = 361,875 × 361,875
  4. Step 4: Simplify right side
    165,757x = 130,953,515,625
  5. Step 5: Solve for x
    x = 130,953,515,625/165,757
  6. Step 6: Final answer
    x = 790,033.09

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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.