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Finding the Third Proportional to 102,510 and 225,216

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Solution

The third proportional to 102,510 and 225,216 is: 494,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,510 : 225,216 = 225,216 : x
  2. Step 2: Convert to fraction form
    102,510/225,216 = 225,216/x
  3. Step 3: Cross multiply
    102,510x = 225,216 × 225,216
  4. Step 4: Simplify right side
    102,510x = 50,722,246,656
  5. Step 5: Solve for x
    x = 50,722,246,656/102,510
  6. Step 6: Final answer
    x = 494,802.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.