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Finding the Third Proportional to 113,525 and 238,812

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Solution

The third proportional to 113,525 and 238,812 is: 502,366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,525 : 238,812 = 238,812 : x
  2. Step 2: Convert to fraction form
    113,525/238,812 = 238,812/x
  3. Step 3: Cross multiply
    113,525x = 238,812 × 238,812
  4. Step 4: Simplify right side
    113,525x = 57,031,171,344
  5. Step 5: Solve for x
    x = 57,031,171,344/113,525
  6. Step 6: Final answer
    x = 502,366.63

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