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Finding the Third Proportional to 113,339 and 234,868

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Solution

The third proportional to 113,339 and 234,868 is: 486,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,339 : 234,868 = 234,868 : x
  2. Step 2: Convert to fraction form
    113,339/234,868 = 234,868/x
  3. Step 3: Cross multiply
    113,339x = 234,868 × 234,868
  4. Step 4: Simplify right side
    113,339x = 55,162,977,424
  5. Step 5: Solve for x
    x = 55,162,977,424/113,339
  6. Step 6: Final answer
    x = 486,707.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.