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Finding the Third Proportional to 113,616 and 238,652

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Solution

The third proportional to 113,616 and 238,652 is: 501,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,616 : 238,652 = 238,652 : x
  2. Step 2: Convert to fraction form
    113,616/238,652 = 238,652/x
  3. Step 3: Cross multiply
    113,616x = 238,652 × 238,652
  4. Step 4: Simplify right side
    113,616x = 56,954,777,104
  5. Step 5: Solve for x
    x = 56,954,777,104/113,616
  6. Step 6: Final answer
    x = 501,291.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.