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Finding the Third Proportional to 111,209 and 244,554

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Solution

The third proportional to 111,209 and 244,554 is: 537,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,209 : 244,554 = 244,554 : x
  2. Step 2: Convert to fraction form
    111,209/244,554 = 244,554/x
  3. Step 3: Cross multiply
    111,209x = 244,554 × 244,554
  4. Step 4: Simplify right side
    111,209x = 59,806,658,916
  5. Step 5: Solve for x
    x = 59,806,658,916/111,209
  6. Step 6: Final answer
    x = 537,786.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.