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Finding the Third Proportional to 159,042 and 342,994

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Solution

The third proportional to 159,042 and 342,994 is: 739,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,042 : 342,994 = 342,994 : x
  2. Step 2: Convert to fraction form
    159,042/342,994 = 342,994/x
  3. Step 3: Cross multiply
    159,042x = 342,994 × 342,994
  4. Step 4: Simplify right side
    159,042x = 117,644,884,036
  5. Step 5: Solve for x
    x = 117,644,884,036/159,042
  6. Step 6: Final answer
    x = 739,709.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.