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Finding the Third Proportional to 113,174 and 238,740

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Solution

The third proportional to 113,174 and 238,740 is: 503,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,174 : 238,740 = 238,740 : x
  2. Step 2: Convert to fraction form
    113,174/238,740 = 238,740/x
  3. Step 3: Cross multiply
    113,174x = 238,740 × 238,740
  4. Step 4: Simplify right side
    113,174x = 56,996,787,600
  5. Step 5: Solve for x
    x = 56,996,787,600/113,174
  6. Step 6: Final answer
    x = 503,620.86

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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.