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Finding the Third Proportional to 147,170 and 227,830

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Solution

The third proportional to 147,170 and 227,830 is: 352,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,170 : 227,830 = 227,830 : x
  2. Step 2: Convert to fraction form
    147,170/227,830 = 227,830/x
  3. Step 3: Cross multiply
    147,170x = 227,830 × 227,830
  4. Step 4: Simplify right side
    147,170x = 51,906,508,900
  5. Step 5: Solve for x
    x = 51,906,508,900/147,170
  6. Step 6: Final answer
    x = 352,697.62

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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.