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Finding the Third Proportional to 236,425 and 512,171

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Solution

The third proportional to 236,425 and 512,171 is: 1,109,523.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,425 : 512,171 = 512,171 : x
  2. Step 2: Convert to fraction form
    236,425/512,171 = 512,171/x
  3. Step 3: Cross multiply
    236,425x = 512,171 × 512,171
  4. Step 4: Simplify right side
    236,425x = 262,319,133,241
  5. Step 5: Solve for x
    x = 262,319,133,241/236,425
  6. Step 6: Final answer
    x = 1,109,523.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.