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Finding the Third Proportional to 181,506 and 394,503

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Solution

The third proportional to 181,506 and 394,503 is: 857,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,506 : 394,503 = 394,503 : x
  2. Step 2: Convert to fraction form
    181,506/394,503 = 394,503/x
  3. Step 3: Cross multiply
    181,506x = 394,503 × 394,503
  4. Step 4: Simplify right side
    181,506x = 155,632,617,009
  5. Step 5: Solve for x
    x = 155,632,617,009/181,506
  6. Step 6: Final answer
    x = 857,451.64

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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.