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Finding the Third Proportional to 113,535.75 and 267,634.50

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Solution

The third proportional to 113,535.75 and 267,634.50 is: 630,886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,535.75 : 267,634.50 = 267,634.50 : x
  2. Step 2: Convert to fraction form
    113,535.75/267,634.50 = 267,634.50/x
  3. Step 3: Cross multiply
    113,535.75x = 267,634.50 × 267,634.50
  4. Step 4: Simplify right side
    113,535.75x = 71,628,225,590.25
  5. Step 5: Solve for x
    x = 71,628,225,590.25/113,535.75
  6. Step 6: Final answer
    x = 630,886.97

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.