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Finding the Third Proportional to 131,136 and 281,385

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Solution

The third proportional to 131,136 and 281,385 is: 603,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,136 : 281,385 = 281,385 : x
  2. Step 2: Convert to fraction form
    131,136/281,385 = 281,385/x
  3. Step 3: Cross multiply
    131,136x = 281,385 × 281,385
  4. Step 4: Simplify right side
    131,136x = 79,177,518,225
  5. Step 5: Solve for x
    x = 79,177,518,225/131,136
  6. Step 6: Final answer
    x = 603,781.71

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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.