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Finding the Third Proportional to 113,980.50 and 263,865.94

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Solution

The third proportional to 113,980.50 and 263,865.94 is: 610,852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,980.50 : 263,865.94 = 263,865.94 : x
  2. Step 2: Convert to fraction form
    113,980.50/263,865.94 = 263,865.94/x
  3. Step 3: Cross multiply
    113,980.50x = 263,865.94 × 263,865.94
  4. Step 4: Simplify right side
    113,980.50x = 69,625,232,972.75
  5. Step 5: Solve for x
    x = 69,625,232,972.75/113,980.50
  6. Step 6: Final answer
    x = 610,852.15

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.