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Finding the Third Proportional to 168,759 and 237,348

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Solution

The third proportional to 168,759 and 237,348 is: 333,813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,759 : 237,348 = 237,348 : x
  2. Step 2: Convert to fraction form
    168,759/237,348 = 237,348/x
  3. Step 3: Cross multiply
    168,759x = 237,348 × 237,348
  4. Step 4: Simplify right side
    168,759x = 56,334,073,104
  5. Step 5: Solve for x
    x = 56,334,073,104/168,759
  6. Step 6: Final answer
    x = 333,813.74

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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.