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Finding the Third Proportional to 156,764 and 342,974

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Solution

The third proportional to 156,764 and 342,974 is: 750,371.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,764 : 342,974 = 342,974 : x
  2. Step 2: Convert to fraction form
    156,764/342,974 = 342,974/x
  3. Step 3: Cross multiply
    156,764x = 342,974 × 342,974
  4. Step 4: Simplify right side
    156,764x = 117,631,164,676
  5. Step 5: Solve for x
    x = 117,631,164,676/156,764
  6. Step 6: Final answer
    x = 750,371.03

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Why These Related Problems?

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