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Finding the Third Proportional to 131,533 and 284,088

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Solution

The third proportional to 131,533 and 284,088 is: 613,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,533 : 284,088 = 284,088 : x
  2. Step 2: Convert to fraction form
    131,533/284,088 = 284,088/x
  3. Step 3: Cross multiply
    131,533x = 284,088 × 284,088
  4. Step 4: Simplify right side
    131,533x = 80,705,991,744
  5. Step 5: Solve for x
    x = 80,705,991,744/131,533
  6. Step 6: Final answer
    x = 613,579.80

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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.