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Finding the Third Proportional to 159,670 and 222,009

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Solution

The third proportional to 159,670 and 222,009 is: 308,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,670 : 222,009 = 222,009 : x
  2. Step 2: Convert to fraction form
    159,670/222,009 = 222,009/x
  3. Step 3: Cross multiply
    159,670x = 222,009 × 222,009
  4. Step 4: Simplify right side
    159,670x = 49,287,996,081
  5. Step 5: Solve for x
    x = 49,287,996,081/159,670
  6. Step 6: Final answer
    x = 308,686.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.