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Finding the Third Proportional to 159,932 and 342,009

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Solution

The third proportional to 159,932 and 342,009 is: 731,374.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,932 : 342,009 = 342,009 : x
  2. Step 2: Convert to fraction form
    159,932/342,009 = 342,009/x
  3. Step 3: Cross multiply
    159,932x = 342,009 × 342,009
  4. Step 4: Simplify right side
    159,932x = 116,970,156,081
  5. Step 5: Solve for x
    x = 116,970,156,081/159,932
  6. Step 6: Final answer
    x = 731,374.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.