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Finding the Third Proportional to 233,736 and 334,242

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Solution

The third proportional to 233,736 and 334,242 is: 477,965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,736 : 334,242 = 334,242 : x
  2. Step 2: Convert to fraction form
    233,736/334,242 = 334,242/x
  3. Step 3: Cross multiply
    233,736x = 334,242 × 334,242
  4. Step 4: Simplify right side
    233,736x = 111,717,714,564
  5. Step 5: Solve for x
    x = 111,717,714,564/233,736
  6. Step 6: Final answer
    x = 477,965.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.