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Finding the Third Proportional to 229,022 and 301,163

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Solution

The third proportional to 229,022 and 301,163 is: 396,028.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,022 : 301,163 = 301,163 : x
  2. Step 2: Convert to fraction form
    229,022/301,163 = 301,163/x
  3. Step 3: Cross multiply
    229,022x = 301,163 × 301,163
  4. Step 4: Simplify right side
    229,022x = 90,699,152,569
  5. Step 5: Solve for x
    x = 90,699,152,569/229,022
  6. Step 6: Final answer
    x = 396,028.12

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.