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Finding the Third Proportional to 192,261 and 406,674

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Solution

The third proportional to 192,261 and 406,674 is: 860,204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,261 : 406,674 = 406,674 : x
  2. Step 2: Convert to fraction form
    192,261/406,674 = 406,674/x
  3. Step 3: Cross multiply
    192,261x = 406,674 × 406,674
  4. Step 4: Simplify right side
    192,261x = 165,383,742,276
  5. Step 5: Solve for x
    x = 165,383,742,276/192,261
  6. Step 6: Final answer
    x = 860,204.32

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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.