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Finding the Third Proportional to 102,789 and 224,205

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Solution

The third proportional to 102,789 and 224,205 is: 489,039.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,789 : 224,205 = 224,205 : x
  2. Step 2: Convert to fraction form
    102,789/224,205 = 224,205/x
  3. Step 3: Cross multiply
    102,789x = 224,205 × 224,205
  4. Step 4: Simplify right side
    102,789x = 50,267,882,025
  5. Step 5: Solve for x
    x = 50,267,882,025/102,789
  6. Step 6: Final answer
    x = 489,039.51

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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.