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Finding the Third Proportional to 184,730 and 394,732

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Solution

The third proportional to 184,730 and 394,732 is: 843,465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,730 : 394,732 = 394,732 : x
  2. Step 2: Convert to fraction form
    184,730/394,732 = 394,732/x
  3. Step 3: Cross multiply
    184,730x = 394,732 × 394,732
  4. Step 4: Simplify right side
    184,730x = 155,813,351,824
  5. Step 5: Solve for x
    x = 155,813,351,824/184,730
  6. Step 6: Final answer
    x = 843,465.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.