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Finding the Third Proportional to 131,940 and 290,763

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Solution

The third proportional to 131,940 and 290,763 is: 640,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,940 : 290,763 = 290,763 : x
  2. Step 2: Convert to fraction form
    131,940/290,763 = 290,763/x
  3. Step 3: Cross multiply
    131,940x = 290,763 × 290,763
  4. Step 4: Simplify right side
    131,940x = 84,543,122,169
  5. Step 5: Solve for x
    x = 84,543,122,169/131,940
  6. Step 6: Final answer
    x = 640,769.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.