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Finding the Third Proportional to 158,938.03 and 222,751.27

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Solution

The third proportional to 158,938.03 and 222,751.27 is: 312,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,938.03 : 222,751.27 = 222,751.27 : x
  2. Step 2: Convert to fraction form
    158,938.03/222,751.27 = 222,751.27/x
  3. Step 3: Cross multiply
    158,938.03x = 222,751.27 × 222,751.27
  4. Step 4: Simplify right side
    158,938.03x = 49,618,126,337.54
  5. Step 5: Solve for x
    x = 49,618,126,337.54/158,938.03
  6. Step 6: Final answer
    x = 312,185.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.