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Finding the Third Proportional to 185,534 and 397,304

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Solution

The third proportional to 185,534 and 397,304 is: 850,789.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,534 : 397,304 = 397,304 : x
  2. Step 2: Convert to fraction form
    185,534/397,304 = 397,304/x
  3. Step 3: Cross multiply
    185,534x = 397,304 × 397,304
  4. Step 4: Simplify right side
    185,534x = 157,850,468,416
  5. Step 5: Solve for x
    x = 157,850,468,416/185,534
  6. Step 6: Final answer
    x = 850,789.98

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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.