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Finding the Third Proportional to 156,938 and 342,306

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Solution

The third proportional to 156,938 and 342,306 is: 746,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,938 : 342,306 = 342,306 : x
  2. Step 2: Convert to fraction form
    156,938/342,306 = 342,306/x
  3. Step 3: Cross multiply
    156,938x = 342,306 × 342,306
  4. Step 4: Simplify right side
    156,938x = 117,173,397,636
  5. Step 5: Solve for x
    x = 117,173,397,636/156,938
  6. Step 6: Final answer
    x = 746,622.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.