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Finding the Third Proportional to 113,236 and 239,964

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Solution

The third proportional to 113,236 and 239,964 is: 508,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,236 : 239,964 = 239,964 : x
  2. Step 2: Convert to fraction form
    113,236/239,964 = 239,964/x
  3. Step 3: Cross multiply
    113,236x = 239,964 × 239,964
  4. Step 4: Simplify right side
    113,236x = 57,582,721,296
  5. Step 5: Solve for x
    x = 57,582,721,296/113,236
  6. Step 6: Final answer
    x = 508,519.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.