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Finding the Third Proportional to 113,338 and 166,550

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Solution

The third proportional to 113,338 and 166,550 is: 244,744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,338 : 166,550 = 166,550 : x
  2. Step 2: Convert to fraction form
    113,338/166,550 = 166,550/x
  3. Step 3: Cross multiply
    113,338x = 166,550 × 166,550
  4. Step 4: Simplify right side
    113,338x = 27,738,902,500
  5. Step 5: Solve for x
    x = 27,738,902,500/113,338
  6. Step 6: Final answer
    x = 244,744.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.