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Finding the Third Proportional to 185,276 and 377,098

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Solution

The third proportional to 185,276 and 377,098 is: 767,519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,276 : 377,098 = 377,098 : x
  2. Step 2: Convert to fraction form
    185,276/377,098 = 377,098/x
  3. Step 3: Cross multiply
    185,276x = 377,098 × 377,098
  4. Step 4: Simplify right side
    185,276x = 142,202,901,604
  5. Step 5: Solve for x
    x = 142,202,901,604/185,276
  6. Step 6: Final answer
    x = 767,519.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.