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Finding the Third Proportional to 236,372 and 354,738

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Solution

The third proportional to 236,372 and 354,738 is: 532,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,372 : 354,738 = 354,738 : x
  2. Step 2: Convert to fraction form
    236,372/354,738 = 354,738/x
  3. Step 3: Cross multiply
    236,372x = 354,738 × 354,738
  4. Step 4: Simplify right side
    236,372x = 125,839,048,644
  5. Step 5: Solve for x
    x = 125,839,048,644/236,372
  6. Step 6: Final answer
    x = 532,377.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.