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Finding the Third Proportional to 113,537.25 and 267,638.25

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Solution

The third proportional to 113,537.25 and 267,638.25 is: 630,896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,537.25 : 267,638.25 = 267,638.25 : x
  2. Step 2: Convert to fraction form
    113,537.25/267,638.25 = 267,638.25/x
  3. Step 3: Cross multiply
    113,537.25x = 267,638.25 × 267,638.25
  4. Step 4: Simplify right side
    113,537.25x = 71,630,232,863.06
  5. Step 5: Solve for x
    x = 71,630,232,863.06/113,537.25
  6. Step 6: Final answer
    x = 630,896.32

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Why These Related Problems?

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