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Finding the Third Proportional to 168,766 and 237,358

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Solution

The third proportional to 168,766 and 237,358 is: 333,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,766 : 237,358 = 237,358 : x
  2. Step 2: Convert to fraction form
    168,766/237,358 = 237,358/x
  3. Step 3: Cross multiply
    168,766x = 237,358 × 237,358
  4. Step 4: Simplify right side
    168,766x = 56,338,820,164
  5. Step 5: Solve for x
    x = 56,338,820,164/168,766
  6. Step 6: Final answer
    x = 333,828.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.