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Finding the Third Proportional to 136,563 and 284,025

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Solution

The third proportional to 136,563 and 284,025 is: 590,717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,563 : 284,025 = 284,025 : x
  2. Step 2: Convert to fraction form
    136,563/284,025 = 284,025/x
  3. Step 3: Cross multiply
    136,563x = 284,025 × 284,025
  4. Step 4: Simplify right side
    136,563x = 80,670,200,625
  5. Step 5: Solve for x
    x = 80,670,200,625/136,563
  6. Step 6: Final answer
    x = 590,717.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.