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Finding the Third Proportional to 221,398 and 350,022

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Solution

The third proportional to 221,398 and 350,022 is: 553,371.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,398 : 350,022 = 350,022 : x
  2. Step 2: Convert to fraction form
    221,398/350,022 = 350,022/x
  3. Step 3: Cross multiply
    221,398x = 350,022 × 350,022
  4. Step 4: Simplify right side
    221,398x = 122,515,400,484
  5. Step 5: Solve for x
    x = 122,515,400,484/221,398
  6. Step 6: Final answer
    x = 553,371.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.