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Finding the Third Proportional to 113,911.31 and 263,710.69

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Solution

The third proportional to 113,911.31 and 263,710.69 is: 610,504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,911.31 : 263,710.69 = 263,710.69 : x
  2. Step 2: Convert to fraction form
    113,911.31/263,710.69 = 263,710.69/x
  3. Step 3: Cross multiply
    113,911.31x = 263,710.69 × 263,710.69
  4. Step 4: Simplify right side
    113,911.31x = 69,543,326,701.72
  5. Step 5: Solve for x
    x = 69,543,326,701.72/113,911.31
  6. Step 6: Final answer
    x = 610,504.13

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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.