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Finding the Third Proportional to 101,496 and 221,352

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Solution

The third proportional to 101,496 and 221,352 is: 482,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,496 : 221,352 = 221,352 : x
  2. Step 2: Convert to fraction form
    101,496/221,352 = 221,352/x
  3. Step 3: Cross multiply
    101,496x = 221,352 × 221,352
  4. Step 4: Simplify right side
    101,496x = 48,996,707,904
  5. Step 5: Solve for x
    x = 48,996,707,904/101,496
  6. Step 6: Final answer
    x = 482,745.21

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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.