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Finding the Third Proportional to 113,396 and 248,338

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Solution

The third proportional to 113,396 and 248,338 is: 543,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,396 : 248,338 = 248,338 : x
  2. Step 2: Convert to fraction form
    113,396/248,338 = 248,338/x
  3. Step 3: Cross multiply
    113,396x = 248,338 × 248,338
  4. Step 4: Simplify right side
    113,396x = 61,671,762,244
  5. Step 5: Solve for x
    x = 61,671,762,244/113,396
  6. Step 6: Final answer
    x = 543,861.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.