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Finding the Third Proportional to 137,114 and 305,736

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Solution

The third proportional to 137,114 and 305,736 is: 681,728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,114 : 305,736 = 305,736 : x
  2. Step 2: Convert to fraction form
    137,114/305,736 = 305,736/x
  3. Step 3: Cross multiply
    137,114x = 305,736 × 305,736
  4. Step 4: Simplify right side
    137,114x = 93,474,501,696
  5. Step 5: Solve for x
    x = 93,474,501,696/137,114
  6. Step 6: Final answer
    x = 681,728.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.