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Finding the Third Proportional to 168,038 and 351,656

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Solution

The third proportional to 168,038 and 351,656 is: 735,916.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,038 : 351,656 = 351,656 : x
  2. Step 2: Convert to fraction form
    168,038/351,656 = 351,656/x
  3. Step 3: Cross multiply
    168,038x = 351,656 × 351,656
  4. Step 4: Simplify right side
    168,038x = 123,661,942,336
  5. Step 5: Solve for x
    x = 123,661,942,336/168,038
  6. Step 6: Final answer
    x = 735,916.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.