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Finding the Third Proportional to 192,192 and 406,536

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Solution

The third proportional to 192,192 and 406,536 is: 859,929.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,192 : 406,536 = 406,536 : x
  2. Step 2: Convert to fraction form
    192,192/406,536 = 406,536/x
  3. Step 3: Cross multiply
    192,192x = 406,536 × 406,536
  4. Step 4: Simplify right side
    192,192x = 165,271,519,296
  5. Step 5: Solve for x
    x = 165,271,519,296/192,192
  6. Step 6: Final answer
    x = 859,929.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.