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Finding the Third Proportional to 185,269 and 377,085

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Solution

The third proportional to 185,269 and 377,085 is: 767,495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,269 : 377,085 = 377,085 : x
  2. Step 2: Convert to fraction form
    185,269/377,085 = 377,085/x
  3. Step 3: Cross multiply
    185,269x = 377,085 × 377,085
  4. Step 4: Simplify right side
    185,269x = 142,193,097,225
  5. Step 5: Solve for x
    x = 142,193,097,225/185,269
  6. Step 6: Final answer
    x = 767,495.36

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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.