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Finding the Third Proportional to 182,574 and 394,308

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Solution

The third proportional to 182,574 and 394,308 is: 851,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,574 : 394,308 = 394,308 : x
  2. Step 2: Convert to fraction form
    182,574/394,308 = 394,308/x
  3. Step 3: Cross multiply
    182,574x = 394,308 × 394,308
  4. Step 4: Simplify right side
    182,574x = 155,478,798,864
  5. Step 5: Solve for x
    x = 155,478,798,864/182,574
  6. Step 6: Final answer
    x = 851,593.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.