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Finding the Third Proportional to 165,105 and 361,854

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Solution

The third proportional to 165,105 and 361,854 is: 793,060.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,105 : 361,854 = 361,854 : x
  2. Step 2: Convert to fraction form
    165,105/361,854 = 361,854/x
  3. Step 3: Cross multiply
    165,105x = 361,854 × 361,854
  4. Step 4: Simplify right side
    165,105x = 130,938,317,316
  5. Step 5: Solve for x
    x = 130,938,317,316/165,105
  6. Step 6: Final answer
    x = 793,060.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.