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Finding the Third Proportional to 186,313 and 404,136

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Solution

The third proportional to 186,313 and 404,136 is: 876,621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,313 : 404,136 = 404,136 : x
  2. Step 2: Convert to fraction form
    186,313/404,136 = 404,136/x
  3. Step 3: Cross multiply
    186,313x = 404,136 × 404,136
  4. Step 4: Simplify right side
    186,313x = 163,325,906,496
  5. Step 5: Solve for x
    x = 163,325,906,496/186,313
  6. Step 6: Final answer
    x = 876,621.10

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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.