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Finding the Third Proportional to 104,157 and 224,136

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Solution

The third proportional to 104,157 and 224,136 is: 482,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,157 : 224,136 = 224,136 : x
  2. Step 2: Convert to fraction form
    104,157/224,136 = 224,136/x
  3. Step 3: Cross multiply
    104,157x = 224,136 × 224,136
  4. Step 4: Simplify right side
    104,157x = 50,236,946,496
  5. Step 5: Solve for x
    x = 50,236,946,496/104,157
  6. Step 6: Final answer
    x = 482,319.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.