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Finding the Third Proportional to 131,635 and 284,283

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Solution

The third proportional to 131,635 and 284,283 is: 613,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,635 : 284,283 = 284,283 : x
  2. Step 2: Convert to fraction form
    131,635/284,283 = 284,283/x
  3. Step 3: Cross multiply
    131,635x = 284,283 × 284,283
  4. Step 4: Simplify right side
    131,635x = 80,816,824,089
  5. Step 5: Solve for x
    x = 80,816,824,089/131,635
  6. Step 6: Final answer
    x = 613,946.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.