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Finding the Third Proportional to 237,636 and 334,350

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Solution

The third proportional to 237,636 and 334,350 is: 470,425.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,636 : 334,350 = 334,350 : x
  2. Step 2: Convert to fraction form
    237,636/334,350 = 334,350/x
  3. Step 3: Cross multiply
    237,636x = 334,350 × 334,350
  4. Step 4: Simplify right side
    237,636x = 111,789,922,500
  5. Step 5: Solve for x
    x = 111,789,922,500/237,636
  6. Step 6: Final answer
    x = 470,425.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.