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Finding the Third Proportional to 156,744 and 342,892

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Solution

The third proportional to 156,744 and 342,892 is: 750,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,744 : 342,892 = 342,892 : x
  2. Step 2: Convert to fraction form
    156,744/342,892 = 342,892/x
  3. Step 3: Cross multiply
    156,744x = 342,892 × 342,892
  4. Step 4: Simplify right side
    156,744x = 117,574,923,664
  5. Step 5: Solve for x
    x = 117,574,923,664/156,744
  6. Step 6: Final answer
    x = 750,107.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.