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Finding the Third Proportional to 136,556 and 284,012

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Solution

The third proportional to 136,556 and 284,012 is: 590,694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,556 : 284,012 = 284,012 : x
  2. Step 2: Convert to fraction form
    136,556/284,012 = 284,012/x
  3. Step 3: Cross multiply
    136,556x = 284,012 × 284,012
  4. Step 4: Simplify right side
    136,556x = 80,662,816,144
  5. Step 5: Solve for x
    x = 80,662,816,144/136,556
  6. Step 6: Final answer
    x = 590,694.05

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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.