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Finding the Third Proportional to 181,206 and 392,652

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Solution

The third proportional to 181,206 and 392,652 is: 850,830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,206 : 392,652 = 392,652 : x
  2. Step 2: Convert to fraction form
    181,206/392,652 = 392,652/x
  3. Step 3: Cross multiply
    181,206x = 392,652 × 392,652
  4. Step 4: Simplify right side
    181,206x = 154,175,593,104
  5. Step 5: Solve for x
    x = 154,175,593,104/181,206
  6. Step 6: Final answer
    x = 850,830.51

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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.