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Finding the Third Proportional to 168,051 and 351,680

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Solution

The third proportional to 168,051 and 351,680 is: 735,960.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,051 : 351,680 = 351,680 : x
  2. Step 2: Convert to fraction form
    168,051/351,680 = 351,680/x
  3. Step 3: Cross multiply
    168,051x = 351,680 × 351,680
  4. Step 4: Simplify right side
    168,051x = 123,678,822,400
  5. Step 5: Solve for x
    x = 123,678,822,400/168,051
  6. Step 6: Final answer
    x = 735,960.05

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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.