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Finding the Third Proportional to 140,638.50 and 303,770

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Solution

The third proportional to 140,638.50 and 303,770 is: 656,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,638.50 : 303,770 = 303,770 : x
  2. Step 2: Convert to fraction form
    140,638.50/303,770 = 303,770/x
  3. Step 3: Cross multiply
    140,638.50x = 303,770 × 303,770
  4. Step 4: Simplify right side
    140,638.50x = 92,276,212,900
  5. Step 5: Solve for x
    x = 92,276,212,900/140,638.50
  6. Step 6: Final answer
    x = 656,123.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.