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Finding the Third Proportional to 102,228 and 224,136

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Solution

The third proportional to 102,228 and 224,136 is: 491,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,228 : 224,136 = 224,136 : x
  2. Step 2: Convert to fraction form
    102,228/224,136 = 224,136/x
  3. Step 3: Cross multiply
    102,228x = 224,136 × 224,136
  4. Step 4: Simplify right side
    102,228x = 50,236,946,496
  5. Step 5: Solve for x
    x = 50,236,946,496/102,228
  6. Step 6: Final answer
    x = 491,420.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.