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Finding the Third Proportional to 182,004 and 393,604

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Solution

The third proportional to 182,004 and 393,604 is: 851,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,004 : 393,604 = 393,604 : x
  2. Step 2: Convert to fraction form
    182,004/393,604 = 393,604/x
  3. Step 3: Cross multiply
    182,004x = 393,604 × 393,604
  4. Step 4: Simplify right side
    182,004x = 154,924,108,816
  5. Step 5: Solve for x
    x = 154,924,108,816/182,004
  6. Step 6: Final answer
    x = 851,212.66

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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.