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Finding the Third Proportional to 182,335 and 393,830

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Solution

The third proportional to 182,335 and 393,830 is: 850,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,335 : 393,830 = 393,830 : x
  2. Step 2: Convert to fraction form
    182,335/393,830 = 393,830/x
  3. Step 3: Cross multiply
    182,335x = 393,830 × 393,830
  4. Step 4: Simplify right side
    182,335x = 155,102,068,900
  5. Step 5: Solve for x
    x = 155,102,068,900/182,335
  6. Step 6: Final answer
    x = 850,643.43

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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.