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Finding the Third Proportional to 131,196 and 284,136

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Solution

The third proportional to 131,196 and 284,136 is: 615,363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,196 : 284,136 = 284,136 : x
  2. Step 2: Convert to fraction form
    131,196/284,136 = 284,136/x
  3. Step 3: Cross multiply
    131,196x = 284,136 × 284,136
  4. Step 4: Simplify right side
    131,196x = 80,733,266,496
  5. Step 5: Solve for x
    x = 80,733,266,496/131,196
  6. Step 6: Final answer
    x = 615,363.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.