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Finding the Third Proportional to 165,794 and 357,796

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Solution

The third proportional to 165,794 and 357,796 is: 772,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,794 : 357,796 = 357,796 : x
  2. Step 2: Convert to fraction form
    165,794/357,796 = 357,796/x
  3. Step 3: Cross multiply
    165,794x = 357,796 × 357,796
  4. Step 4: Simplify right side
    165,794x = 128,017,977,616
  5. Step 5: Solve for x
    x = 128,017,977,616/165,794
  6. Step 6: Final answer
    x = 772,150.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.