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Finding the Third Proportional to 161,630 and 352,630

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Solution

The third proportional to 161,630 and 352,630 is: 769,336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,630 : 352,630 = 352,630 : x
  2. Step 2: Convert to fraction form
    161,630/352,630 = 352,630/x
  3. Step 3: Cross multiply
    161,630x = 352,630 × 352,630
  4. Step 4: Simplify right side
    161,630x = 124,347,916,900
  5. Step 5: Solve for x
    x = 124,347,916,900/161,630
  6. Step 6: Final answer
    x = 769,336.86

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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.