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Finding the Third Proportional to 102,517 and 221,882

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Solution

The third proportional to 102,517 and 221,882 is: 480,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,517 : 221,882 = 221,882 : x
  2. Step 2: Convert to fraction form
    102,517/221,882 = 221,882/x
  3. Step 3: Cross multiply
    102,517x = 221,882 × 221,882
  4. Step 4: Simplify right side
    102,517x = 49,231,621,924
  5. Step 5: Solve for x
    x = 49,231,621,924/102,517
  6. Step 6: Final answer
    x = 480,228.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.