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Finding the Third Proportional to 158,367 and 352,149

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Solution

The third proportional to 158,367 and 352,149 is: 783,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,367 : 352,149 = 352,149 : x
  2. Step 2: Convert to fraction form
    158,367/352,149 = 352,149/x
  3. Step 3: Cross multiply
    158,367x = 352,149 × 352,149
  4. Step 4: Simplify right side
    158,367x = 124,008,918,201
  5. Step 5: Solve for x
    x = 124,008,918,201/158,367
  6. Step 6: Final answer
    x = 783,047.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.