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Finding the Third Proportional to 102,790 and 224,208

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Solution

The third proportional to 102,790 and 224,208 is: 489,047.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,790 : 224,208 = 224,208 : x
  2. Step 2: Convert to fraction form
    102,790/224,208 = 224,208/x
  3. Step 3: Cross multiply
    102,790x = 224,208 × 224,208
  4. Step 4: Simplify right side
    102,790x = 50,269,227,264
  5. Step 5: Solve for x
    x = 50,269,227,264/102,790
  6. Step 6: Final answer
    x = 489,047.84

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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.