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Finding the Third Proportional to 157,806 and 244,800

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Solution

The third proportional to 157,806 and 244,800 is: 379,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,806 : 244,800 = 244,800 : x
  2. Step 2: Convert to fraction form
    157,806/244,800 = 244,800/x
  3. Step 3: Cross multiply
    157,806x = 244,800 × 244,800
  4. Step 4: Simplify right side
    157,806x = 59,927,040,000
  5. Step 5: Solve for x
    x = 59,927,040,000/157,806
  6. Step 6: Final answer
    x = 379,751.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.