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Finding the Third Proportional to 226,020 and 332,022

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Solution

The third proportional to 226,020 and 332,022 is: 487,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,020 : 332,022 = 332,022 : x
  2. Step 2: Convert to fraction form
    226,020/332,022 = 332,022/x
  3. Step 3: Cross multiply
    226,020x = 332,022 × 332,022
  4. Step 4: Simplify right side
    226,020x = 110,238,608,484
  5. Step 5: Solve for x
    x = 110,238,608,484/226,020
  6. Step 6: Final answer
    x = 487,738.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.