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Finding the Third Proportional to 113,171 and 238,735

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Solution

The third proportional to 113,171 and 238,735 is: 503,613.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,171 : 238,735 = 238,735 : x
  2. Step 2: Convert to fraction form
    113,171/238,735 = 238,735/x
  3. Step 3: Cross multiply
    113,171x = 238,735 × 238,735
  4. Step 4: Simplify right side
    113,171x = 56,994,400,225
  5. Step 5: Solve for x
    x = 56,994,400,225/113,171
  6. Step 6: Final answer
    x = 503,613.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.