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Finding the Third Proportional to 161,796 and 352,793

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Solution

The third proportional to 161,796 and 352,793 is: 769,258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,796 : 352,793 = 352,793 : x
  2. Step 2: Convert to fraction form
    161,796/352,793 = 352,793/x
  3. Step 3: Cross multiply
    161,796x = 352,793 × 352,793
  4. Step 4: Simplify right side
    161,796x = 124,462,900,849
  5. Step 5: Solve for x
    x = 124,462,900,849/161,796
  6. Step 6: Final answer
    x = 769,258.21

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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.